point-slope form of the line that passes through (-8, 2) and is parallel to a line with a slope of -8

Question

Write the point-slope form of the line that passes through (-8, 2) and is parallel to a line with a slope of -8. Include all of your work in your final answer.

Answer 1

 point-slope form of the line that passes through (-8, 2) and is parallel to a line with a slope of -8

A general equation of a straight line is given by

(y - y1)/(x - x1) = m

using the given data,

(y - 2) / (x - (-8)) = -8

y - 2 = (-8)(x + 8)

y - 2 = -8x - 64

y = -8x - 62

Answer 2

Slope of the line is -8 because parallel lines have the same slope.

The point-slope form is y-2=-8(x-(-8))=-8(x+8). (This can be written y=-8x-64+2=-8x-62.)

Answer: y-2=-8(x+8)