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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