Question

Which of the following are point-slope equations of the line going through (-3,-5) and (2,4)

Answer 1

y+5 = 9/5(x+3)

y - 4 = 9/5(x-2)

Explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

= ( 4- -5)/(2 - -3)

= ( 4+5)/(2+3)

= 9/5

Then using the point slope form

y -y1 = m(x-x1) where x1 and y1 are a point on the line

y - -5 = 9/5(x- -3)

y+5 = 9/5(x+3)

or using the other point

y - 4 = 9/5(x-2)