Question

Write an equation of the line in point-slope form that passes through the given points.

(3,4) and (4,7)

Answer 1

y - 4 = 3(x - 3) or y - 7 = 3(x - 4)

Explanation:

y1 = mx1 + b

y2 = mx2 + b

(3, 4) = (x1, y1)

(4, 7) = (x2, y2)

4 = 3m + b

7 = 4m + b

-3 = -m

m = 3

y - y1 = m(x - x1)

y - 4 = 3(x - 3)