Question

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

Answer 1

Answer:

y = 2x + 2

Step-by-step 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