Question

Write an equation to match this graph.

Answer 1

y = x + 7

Explanation:

Pick 2 points on the line to calculate the slope, m: (3, 10) and (5, 12)

m = Δy/Δx = (12 - 10) / (5 - 3) = 2/2 = 1

Use the point-slope equation and the point (3, 10): (y - y1) = m(x - x1)

(y - 10) = 1(x - 3)

y - 10 = x - 3

y = x - 3 + 10

y = x + 7