Question

T is the equation of this line? y = - 2x - 2 y = 2x - 2 y = 1/2 * x - 2 y = - 1/2 * x - 2

Answer 1

y =
`(1)/(2)` x - 2

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 ) = (4, 0) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line

m =
`(-2-0)/(0-4)` =
`(-2)/(-4)` =
`(1)/(2)`

Note the line crosses the y- axis at (0, - 2) ⇒ c = - 2

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