Question

A line passes through the points (1, 4) and (3, 4). Which is the equation of the line?

y=-4x+8

y=-2x+6

y=-1/4x+2

y=2x+2

Answer 1

y = -4x + 8

Explanation:

Slope-Intercept Form: y = mx + b

Slope Formula:
`m=(y_2-y_1)/(x_2-x_1)`

Step 1: Find slope m

`m=(-4-4)/(3-1)`

`m=(-8)/(2)`

m = -4

y = -4x + b

Step 2: Find y-intercept b

4 = -4(1) + b

4 = -4 + b

8 = b

Step 3: Rewrite linear equation

y = -4x + 8