Question

Write the equation of the line in slope intercept form.

(-5,-7); m=-2

(-4,2); m=2

Answer 1

(-5,-7); m=-2 : y = -2x - 17

(-4,2); m=2 : y = 2x + 10

Explanation:

Since we only have a point and the slope. Then we can write the equations in point-slope form [(y - y₁) = m(x - x₁)], the convert to slope-intercept form ( y = mx + c ).

For (-5,-7); m = -2:

Write the equation in point-slope form

y - (-7) = - 2 (x - (-5))

y + 7 = -2 ( x + 5 )

Transpose to determine slope-intercept form

since y + 7 = -2 ( x + 5 )

y = -2 x - 10 - 7

y = -2x - 17

For (-4,2); m=2 :

Write the equation in point-slope form

(y - 2) = 2 (x - (-4))

y - 2 = 2 ( x + 4 )

Transpose to determine slope-intercept form

since y - 2 = 2 ( x + 4 )

y = 2 x + 8 + 2

y = 2x + 10