Question

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

y = 2x - 2
y = - 2x + 2
y = 2x + 2

Answer 1

it's y = 2 x + 2! :)

Answer 2

y = 2x + 2

Explanation:

(a) Slope

The point-slope formula for a straight line is

y₂ - y₁ = m(x₂ - x₁)

The line goes through the points (-1, 0) and (0, 2).

2 – 0 = m[0 – (-1)]

2 = m

(b) y-intercept

y = mx + b

Use the point (0, 2)

2 = 2× 0+ b

2 = 0 + b

b = 2

∴ y = 2x + 2