Question

A line intersects the points (0,-4)and (1,2). What is the slope-intercept equation for this line?

Answer 1

y = 6x - 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 ) = (1, 2)

m =
`(2+4)/(1-0)` = 6

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

y = 6x - 4 ← in slope- intercept form