What is the point slope form of a line passing through (-1,2), and has the same x-intercept as y=2x-3?

Answer 1

y=2x-3 has an x intercept when y=0

0 = 2x -3

2x = 3

x = 3/2 = the x intercept or the point (3/2,0)

a line through (3/2,0)= and (-1,2) has slope= (2-0)/(-1-3/2) = 2/(-5/2) = -4/5

the line is y=(-4/5)x + b where b is the y intercept

plug in either point to solve for b

2 = 4/5 + b

b = 2-4/5 = 6/5

y = (-4/5)+ 6/5 or

4x + 5y = 6