Point-Slope & Slope Intercept forms

Question

What is the equation of the line in point-slope form that passes (-2,3) and (3,4)

Answer 1

(-2,3) and (3,4) have a line through them with slope = (4-3)/(3--2) = 1/5 = (y-4)/(x-3)

y-4 = (1/5)(x-3) = x/5 - 3/5

y = x/5 -3/5 + 4

y = x/5 + 17/5 is the equation of the line through the two given points, in slope intercept form. slope = 1/5 and intercept = 17/5