Question

Complete the slope-intercept form of the linear equation that represents the relationship in the table. x y 2 1 4 −3

Answer 1

y = -2x + 5

Explanation:

1. Find the slope:
`(-3-1)/(4-2)=(-4)/(2)=-2`

2. Find the y-intercept: 1 = -2(2) + b ⇒ 1 = -4 + b ⇒ 5 = b

3. Use the slope and y-intercept found in steps 1 and 2 to complete the equation in the form y = mx + b: y = -2x + 5