Answers
Answer:
A. (-5, 0) and (1, -3)
B. Slope (m) = -½
C. y + 3 = -½(x - 1)
D. y = -½x - ⁵/2
E. ½x + y = ⁵/2
Step-by-step explanation:
A. Two points on the line from the graph are: (-5, 0) and (1, -3)
B. The slope can be calculated using two points,(-5, 0) and (1, -3):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 0}{1 -(-5)} = \frac{-3}{6} = -\frac{1}{2} [/tex]
Slope (m) = -½
C. Equation in point-slope form is represented as y - b = m(x - a). Where,
(a, b) = any point on the graph.
m = slope.
Substitute (a, b) = (1, -3), and m = -½ into the point-slope equation, y - b = m(x - a).
Thus:
y - (-3) = -½(x - 1)
y + 3 = -½(x - 1)
D. Equation in slope-intercept form, can be written as y = mx + b.
Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.
y + 3 = -½(x - 1)
2(y + 3) = -1(x - 1)
2y + 6 = -x + 1
2y = -x + 1 - 6
2y = -x - 5
y = -x/2 - ⁵/2
y = -½x - ⁵/2
E. Convert the equation in (D) to standard form:
y = -½x - ⁵/2
½x + y = ⁵/2
Related Questions
eye blue like the Atlantic and im going down like the Titanic
Answers
Answer:
how is this a question
Step-by-step explanation:
State whether the lines are parallel, perpendicular,or neither.
1) y = 6х - 3 2) y = 3x + 2 3) 8x - 2y = 3
y = - 1/6x + 7 2y = 6x - 6 x + 4y = - 1
4) 3x + 2y = 5 5) y - 5 = 6x 6) y = 3x + 9
3y + 2x = -3 y - 6x = -1 y = 1/3x - 4
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
Two lines are parallel if their slopes are equal.Two lines are perpendicular if the product of their slope is -1We also know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
Given the lines
1)
y = 6х - 3Comparing with y=mx+b, the slope of y = 6х - 3:
m₁=6
y = - 1/6x + 7Comparing with y=mx+b, the slope of y = - 1/6x + 7:
m₂=-1/6
As
m₁ × m₂ = -1
6 × - 1/6 = -1
-1 = -1
Thus, the lines y = 6х - 3 and y = - 1/6x + 7 are perpendicular.
2)
y = 3x + 2Comparing with y=mx+b, the slope of y = 3x + 2:
m₁=3
2y = 6x - 6simplifying to write in slope-intercept form
y=3x-3
Comparing with y=mx+b, the slope of y=3x-3:
m₂=3
As the slopes of y = 3x + 2 and 2y = 6x - 6 are equal.
i.e. m₁ = m₂ → 3 = 3
Thus, the lines y = 3x + 2 and 2y = 6x - 6 are paralle.
3)
8x - 2y = 3simplifying to write in slope-intercept form
y = 4x - 3/2
Comparing with y=mx+b, the slope of y = 4x - 3/2:
m₁=4
x + 4y = - 1simplifying to write in slope-intercept form
y=-1/4x-1/4
Comparing with y=mx+b, the slope of y=-1/4x-1/4:
m₂=-1/4
As
m₁ × m₂ = -1
4 × - 1/4 = -1
-1 = -1
Thus, the lines 8x - 2y = 3 and x + 4y = - 1 are perpendicular.
4)
3x+2y = 5simplifying to write in slope-intercept form
y = -3/2x + 5/2
Comparing with y=mx+b, the slope of y = -3/2x + 5/2:
m₁=-3/2
3y + 2x = - 3simplifying to write in slope-intercept form
y = -2/3x - 1
Comparing with y=mx+b, the slope of y = -2/3x - 1:
m₂=-2/3
As m₁ and m₂ are neither equal nor their product is -1, hence the lines neither perpendicular nor parallel.
5)
y - 5 = 6xsimplifying to write in slope-intercept form
y=6x+5
Comparing with y=mx+b, the slope of y=6x+5:
m₁=6
y - 6x = - 1simplifying to write in slope-intercept form
y=6x-1
Comparing with y=mx+b, the slope of y=6x-1:
m₂=6
As the slopes of y - 5 = 6x and y - 6x = -1 are equal.
i.e. m₁ = m₂ → 6 = 6
Thus, the lines y - 5 = 6x and y - 6x = -1 are paralle.
6)
y = 3х + 9Comparing with y=mx+b, the slope of y = 3х + 9:
m₁=3
y = -1/3x - 4Comparing with y=mx+b, the slope of y = 1/3x - 4:
m₂=1/3
As m₁ and m₂ are neither equal nor their product is -1, hence the lines neither perpendicular nor parallel.
A salesperson at a jewelry store earns 3% commission each week. Last week, Heidi sold $750
worth of jewelry. How much did she make in commission? How much did the jewelry store make
from her sales?
Heidi earned $ in commission.
Answers
can you Evaluate 2. pls anyone
Answers
Answer:
no
Step-by-step explanation:
2 is just 2
Anybody can help me with this one?
Answers
Answer:
look pic
Step-by-step explanation:
the -1/4 is the slope and 5 is where you start
In 2011, Japan experienced an intense earthquake with a magnitude of 9.1 on the Richter scale. In 2003, Japan experienced another intense earthquake that measured 8.3 on the Richter scale. Compare the intensities of the two earthquakes. Use a logarithmic model to solve. Round to the nearest whole number.
Answers
Answer:
The intensity of the 2011 earthquake was about 6 times the intensity of the 2003 earthquake.
Step-by-step explanation:
To compare the intensities, we first need to convert the magnitudes to intensities using the log formula. Then we will set up a ratio to compare the intensities.
Convert the magnitudes to intensities and write them in exponential form.
R=logI
2011 earthquake:
9.1I=logI=109.1
2003 earthquake:
8.3I=logI=108.3
Form a ratio of the intensities.
intensity for 2011intensity for 2003
Substitute in the values and divide by subtracting the exponents to find
109.1108.3100.8≈6.
The intensity of the 2011 earthquake was about 6 times the intensity of the 2003 earthquake.
Your answer:
The intensity of the 2011 earthquake was about 15 times the intensity of the 2003 earthquake.
The intensities of the two earthquakes will be 6.3095.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
In 2011, Japan encountered a serious quake with an extent of 9.1 on the Richter scale. In 2003, Japan encountered another extraordinary seismic tremor that deliberate 8.3 on the Richter scale.
The intensity of the earthquake is given as,
㏒ (I₁ / I₂) = M₁ - M₂
㏒ (I₁ / I₂) = 9.1 - 8.3
Simplify the equation, then we have
㏒ (I₁ / I₂) = 9.1 - 8.3
㏒ (I₁ / I₂) = 0.8
Take anti log, then we have
(I₁ / I₂) = 6.3095
The intensities of the two earthquakes will be 6.3095.
More about the Algebra link is given below.
https://brainly.com/question/953809
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27.1018494699 round to nearest hundred-thousandth
Answers
Answer:
27.101
Step-by-step explanation:
State 2 possible solution points for the inequality. Use the form (x,y) for both points. *
4 points
Captionless Image
Answers
Please explain how to do it so I can learn it
Answers
A ball is thrown from a height of 130 feet with an initial downward velocity of 6ft/s. The ball's height h (in feet) after t seconds is given by the following.
h=130-6t-16t^2
How long after the ball is thrown does it hit the ground?
Answers
See attachment for math work.
What is the value of 1 in 2.391
Answers
Answer:
0.001 (one thousandth)
Step-by-step explanation:
hope this helps
Answer:
1 thousandth
Step-by-step explanation:
2 is in the ones place, 3 is in the tenths place, 9 is in the hundredths place, 1 is in the thousandths place.
Hope it helps!
Find a formula for the general term or of the sequence assuming the pattern of the first few terms
continues.
{14, 19, 24, 29, 34, ...}
Assume the first term is a1.
an=?
Answers
Answer:5n+6
Step-by-step explanation :an=a1+d(n-1)
=1+(-5)(n-1) or 1+-5n+5
an=-5n+6
Helpp me please find the angle (where the question mark is ) 10 pointsss
Answers
Answer:
#9= 100 degrees but I'm not sure about #10.
Step-by-step explanation:
We know that a triangle has a total of 180 degrees.
So we add 16, 34, and 30
16+34+30=80
Then we subtract the amount from the total degrees of a triangle.
180-80
= 100 degrees
I hope this helps:)
Identify the vertex of
y = 2x2 − 4x − 2
Answers
vertex at
(
−
1
,
−
4
)
Explanation:
Given:
y
=
2
x
2
+
4
x
−
2
Convert the given form into "vertex form"
y
=
m
(
x
−
a
)
2
+
b
with vertex at
(
a
,
b
)
XXX
y
=
2
(
x
2
+
2
x
)
−
2
complete the square
XXX
y
=
2
(
x
2
+
2
x
+
1
)
−
2
−
2
XXX
y
=
2
(
x
+
1
)
2
−
4
XXX
y
=
2
(
x
−
(
−
1
)
)
2
+
(
−
4
)
which is the vertex form with vertex at
(
−
1
,
−
4
)
graph{2x^2+4x-2 [-5.455, 7.034, -5.54, 0
I need help!
Which of the following has a graph that is a straight line?
a. y^2 = x - 1
b. y = 2x^2 + 4
c. y = 2x + 7
d. y = 3x^3
Answers
add then simplify if possible 1/2 + 2/5
Answers
Answer:
9/10 and it can't be simplified
Step-by-step explanation:
BRAINLIEST PLEASE
Answer:
9/10
Step-by-step explanation:
1/2 = 5/10
2/5 = 4/10
5/10+4/10= 9/10
150 pounds to 135 pounds
Answers
Answer:
15 pounds
Step-by-step explanation:
150-135
Answer:
15 pounds
Step-by-step explanation:
IM SO DUMB PLS HELP ME I THINK THIS IS ALGEBRA I DONT KNOW??
Answers
Answer:
#1 350 trees
#2 10 people
Step-by-step explanation:
Help me fast pleaseeeee
Answers
Answer:
y=-2x-2
Step-by-step explanation:
Find slope and y intercept
can any one help me with this please ?this is worth 82 points
Answers
Answer:
1. YZX
2. XYZ
3. ZXY
4. EDF
5. MLN
6. FED
7. DFE
8. MNL
9. LMN
1 was flipped (reflected).
2 was slid (translated).
3 was slid (translated).
4 was rotated 180 degrees clockwise.
5 was flipped and rotated.
6 was flipped and rotated.
7, 8, 9 were translated.
If two lines are perpendicular, their slopes are negative reciprocals.
A. True
B.False
Answers
(a) 12 is 15% of what?
Answers
hope this helps mate
HELP^^^ ITS 7TH GRADE MATH
Answers
Answer:
13
Step-by-step explanation:
count outside lines
Answer:
Perimeter: 13
math question!
please answer for 10+ points
Answers
Answer:
5 to the fourth power is 625
625 / 25 is 25
so now you have 25 = 5 to the second power
and five to the second power is 25
Step-by-step explanation:
So the answer should be the third one.
Don’t understand pls help
Answers
Answer:
-1.5x + 3
Step-by-step explanation:
The Y-intercept is visible, wherever the line is touching the Y-Axes is the intercept. Use this formula to solve for slope:
In triangle ABC, angle A is 35 and angle b is 20 select all triangle which are similar to triangle ABC.
Answers
Answer:
The similar one are 1 and 5
A. Triangle DEF where ∠D is 35° and ∠E is 20°.
C. Triangle JKL where ∠J is 35° and ∠L is 125°.
D. Triangle MNO where ∠N is 20° and ∠O is 125°.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the sum of all the interior angles of a triangle is equal to 180°.
Given, A triangle ABC has ∠A = 35° and ∠B = 20°.
∴ ∠C = 180° - 35° - 20°.
∠C = 125°.
Triangle will be similar if every corresponding angle of different triangles has the same measure.
So, Triangles that are similar to triangle ABC is triangle DEF where ∠D is 35° and ∠E is 20°.
Triangle JKL where ∠J is 35° and ∠L is 125°.
Triangle MNO where ∠N is 20° and ∠O is 125°.
learn more about triangles here :
https://brainly.com/question/2773823
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Help!!!!!!!!!!!!!!.
Plzzzzzzzzzzzzzzzzzzzzzzz
Answers
plz answer it as fast as you can
Answers
Answer:JL=MO
Source:trust me bro
Which Shape is NOT quadrilateral
Answers
Answer:
the pentagon (3rd one)
Step-by-step explanation:
definition of a quadrilateral literally means a shape with 4 sides
Ryan has a checking account balance of -$25. Write an absolute value statement to show how much money Ryan owes the bank.
Answers
My best guess is x^2 + x - 25
I’m sorry if I’m wrong