Question

What is the equation of the line with an x-intercept of -1 and a y-intercept of 2?

O y=2x-2
y=. 2x+ 2
Oy=2x+2

Answer 1

y = 2x + 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 ) = (- 1, 0) and (x₂, y₂ ) = (0, 2) ← coordinates of intercepts

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

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

y = 2x + 2 ← equation of line