Question

What is the equation in point-slope form of the line passing through (3, 6) and (−2, 1)

Answer 1

Point-Slope form : (y - y1) = m(x - x1)

Find the slope:

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

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

m = 5/5

m = 1

Form the equation:

(y - y1) = m(x - x1)

y - 6 = 1(x - 3)

y - 6 = x - 3

Answer: y - 6 = x - 3

Answer 2

Point-Slope form of equation is

 (y - y1) = m(x - x1)

slope:

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

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

m = 5/5

m = 1

we know that point slope form of equation is

(y - y1) = m(x - x1)

y - 6 = 1(x - 3)

y - 6 = x - 3

y - x = 3