Question

Find the equation of the line, whose x-intercept = −4 and y-intercept = 6

Answer 1

When x-intercept = −4, corresponding point on x-axis is (−4, 0)

When y-intercept = 6, corresponding point on y-axis is (0, 6).

Let (x₁, y₁) = (−4, 0) and (x₂, y₂) = (0, 6)

Slope = `(6 - 0)/(0 + 4) = (6)/4 =3/2`

The required equation is:

y – y₁ = m(x – x₁)

`y - 0 = (3)/2(x + 4)`

2y = 3x + 12