Question

Find the slope of any line perpendicular to the line through the points (0,5) and (-3,-4)

Write the equation of the line passing through each of the given pairs of points. Write the answer in slope-intercept form, where possible. (-1,3) and (4,-2)

Answer 1

You have asked two separate questions.

In the first problem, get the slope of the line between those points. It is
m = (y2-y1)/(x2-x1)
=(-4 -5)/(-3-0) = -9/-3 = 3
The slope of a line perpendicular to that has to be -1/3, because the product of the two slopes must be -1.

In the second problem, first get the slope
m = (-2 -3)/[4-(-1)] = -1
So y = -x + b
Solve for b by requiring
3 = -(-1) + b
b = 2
y = -x +2