Question

Write an equation in​ point-slope form for the given line. (-5,6) and (3,2)

Answer 1

The equation in point-slope form for the given line can be found using the formula:
y - y1 = m(x - x1), where (x1, y1) represents one of the given points on the line and m represents the slope of the line.

First, let's find the slope (m) of the line using the formula:
m = (y2 - y1)/(x2 - x1)

Given points: (x1, y1) = (-5, 6) and (x2, y2) = (3, 2)

m = (2 - 6)/(3 - (-5))
m = -4/8
m = -1/2

Now, let's choose one of the given points (x1, y1) = (-5, 6) and substitute them into the point-slope form:

y - y1 = m(x - x1)
y - 6 = (-1/2)(x - (-5))
y - 6 = (-1/2)(x + 5)

This is the equation in point-slope form for the given line.