Question

Please help me out with this

Answer 1

y = - 3x + 4

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, 4) and (x₂, y₂ ) = (2, - 2) ← 2 points on the line

m =
`(-2-4)/(2-0)` =
`(-6)/(2)` = - 3

Note the line crosses the y- axis at (0, 4) ⇒ c = 4

y = - 3x + 4 ← equation of line