The line above goes through points (-4,0) and (0,1). what is the equation of the line?

Question

asked Sep 11, 2020 108k views

1 Answer

Nelo Angelo · Answer 1 · 2020-09-16T04:34:36+0000

Answer:

y =
(1)/(4) 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 ) = (- 4, 0) and (x₂, y₂ ) = (0, 1)

m =
(1-0)/(0+4) =
(1)/(4)

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

y =
(1)/(4) x + 1 ← equation of line