Question

Write an equation in point-slope form for the line through the given point and with the given slope m , ( 2,-2) ; m = -1/2

Answer 1

y = -(1/2)x - 1

Explanation:

Slope = -1/2

The general equation is

y - y1 = m(x - x1) m is given to you as m = - 1/2 so

y - y1 = (-1/2) ( x - x1) is what you know so far.

Givens

x1 = 2

y1 = - 2

Solution

y - y1 = m(x - x1)

y - -2 = -1/2(x - 2)

y + 2 = -1/2(x - 2)

Answer 2

y+2 = -1/2 (x-2)

Explanation:

point slope form

y-y1 = m(x-x1)

y--2 = -1/2 (x-2)

y+2 = -1/2 (x-2)