Question

Find the equation of the line. A. Y=-3/2x+1 B. Y=-2/3x-1 C. Y=2/3x+1 D. Y=3/2x-1. PLEASE HURRY!!!!!!!!​

Answer 1

y =
`(2)/(3)` x + 1

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 1) and (x₂, y₂ ) = (3, 3) ← 2 points on the line

m =
`(3-1)/(3-0)` =
`(2)/(3)`

Note the line crosses the y- axis at (0, 1) ⇒ c = 1

y =
`(2)/(3)` x + 1 ← equation of line