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:

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In which step does Hailey make her first error?


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Step 3: −92=4x

Step 4: −98=x

(239820491+122389102938)+(32193846789231+2318947291392918)=
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Sorry ignore this its says its not long enough.

please answer this one

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△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¯¯¯¯¯ .
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D. The relationship between the slope of AC¯¯¯¯¯ and the slope of CE¯¯¯¯¯ cannot be determined, because the triangles are congruent.

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h e l p -

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