Question

Write the equation for the following graph

Answer 1

y = 4x - 6

Explanation:

linear equation:

y = mx + b

1. find the slope m

first select two point

im gonna take point 1 (-1,-7) and point 2 (3,9)

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

m = (9-(-7))/(3-(-1)) = 16/4 = 4

2. find b

first select a point

im gonna reuse point 2 (3,9)

y = mx + b

9 = 5(3) + b

9 = 15 + b

b = 9 - 15 = -6

3. keep x y, substitute m,b to linear equation

y = 4x - 6