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 your work in your answer.

The point slope form of the line that passes through (-8,2) and is parallel to a line with a slope of -8 is 8x + y + 62 = 0

Solution:

The point slope form of the line that passes through the points and parallel to the line with slope “m” is given as  

--- eqn 1

Where “m” is the slope of the line.  

are the points that passes through the line.

From question, given that slope “m” = -8

Given that the line passes through the points (-8,2).Hence we get

By substituting the values in eqn 1, we get the point slope form of the line which is parallel to the line having slope -8 can be found out.

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

On simplifying we get

y – 2 = -8(x +8)

y – 2 = -8x -64

y – 2 +8x +64 = 0

8x + y +62 = 0

Hence the point slope form of given line is 8x + y +62 = 0

look a the sides they are perpendicular