Question

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

Answer 1

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