Write an equation in standard form of the line that passes through (−6,−10) and has the slope m=1/6.

Step-by-step explanation:

y-b=m(x-a)

y--10=1/6(x--6)

y+10=1/6(x+6)

6y+60=1(x+6)

6y+60=1x+6

6y=1x-54

y=1/6x-54/6

y=1/6x-9

The  equation of line is y= 1/6x - 9.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

slope= 1/6

and, passes through (−6,−10)

Now, using slope intercept form

y- a =m (x- b)

y - (-10)= 1/6(x -(-6))

y + 10= 1/6( x + 6)

y + 10 = 1/6x + 1

y= 1/6x - 9

Hence, the equation of line is y= 1/6x - 9.

Learn more about slope here:

https://brainly.com/question/3605446

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A car made a 60-mile trip at an average speed of 20 mph. On the return trip, the car's average speed was 30mph. What was the average speed of the car for the entire two-way trip?

A) 30 mph
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C) 26 mph
d) 24 mph

Hailey solves the equation shown.

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In which step does Hailey make her first error?


Step 1: 12−x=5+3x

Step 2: 12=5+4x

Step 3: −92=4x

Step 4: −98=x

Moving at a constant rate, a trench machine is advertised as being able to dig 36-foot trenches in 40 minutes. A farmer uses the same machine to dig trenches that are 58.5 feet long, with each trench taking 65 minutes to complete.

Help Me plzzzzzzzzzz

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What is the equation of this line? Please help I will give extra points and the brain thing.

y=−3x−4/3

y=4/3x−3

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please answer this one

please helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppmee

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h e l p -

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Enter your answer as a mixed number in simplest form

Please help me I will give out the brain thing and extra point, please. Image below
△ABC and △CDE similar right triangles. The coordinates of all the vertices are integers.
A. The slope of AC¯¯¯¯¯ is less than the slope of CE¯¯¯¯¯ . This is because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is less for AC¯¯¯¯¯ than for CE¯¯¯¯¯ .
B. The slope of AC¯¯¯¯¯ is greater than the slope of CE¯¯¯¯¯ . This is because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is greater for AC¯¯¯¯¯ than for CE¯¯¯¯¯ .
C. The slope of AC¯¯¯¯¯ is equal to the slope of CE¯¯¯¯¯ . This this because ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is the same for AC¯¯¯¯¯ as for CE¯¯¯¯¯
D. The relationship between the slope of AC¯¯¯¯¯ and the slope of CE¯¯¯¯¯ cannot be determined, because the triangles are congruent.

can anybody help me with my geo hw problem

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1) y + 4 = ½ (x – 4)
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(Just in case: Ax + By = C
A is positive
A and B are not 0
B can be negative
A, B, and C are integers)

Which linear function has the steepest slope?

plz help me and plz show work

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-Always
-Sometimes
-Never

(239820491+122389102938)+(32193846789231+2318947291392918)=
helppppp

BRAINLIEST AND 13 points plz help ASAP
A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.
In which step did the student first make a mistake and how can it be corrected?
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Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)
Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles)
Step 2; m∠p − m∠o = 90 degrees (alternate interior angles)

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2/7 x -41 =?




Sorry ignore this its says its not long enough.

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God bless! :)

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two ratios that are equivalent to 6:10

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For how many two-digit positive integers does the product of the digits come out to 12?