algebra 1 question

Question

Write the linear point-slope equation given the following points.

 

Answer 1

slope = m = (5--1)/(-2-1) = 6/-3 = -2

y=mx+b

y=-2x + b where b = the y intercept; plug in either point to solve for b

5 = -2(-2) + b

b = 5-4 = 1

y=-2x + 1 is the line through the 2 given points, in slope intercept form

but you want point slope form

m=-2 = (y-5)/(x--2)

(y-5)/(x+2) = -2

or y-5 = -2(x+2) where -2 is the slope and (-2,5) is the point = (h,k) in the general form

(y-k)/(x-h) = m or

y-k = m(x-h)