Question

Find the equation of the line, whose x-intercept = −8 and y-intercept = −4

Answer 1

When x-intercept = −8, corresponding point on x-axis is (−8, 0)

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

Let (x₁, y₁) = (−8, 0) and (x₂, y₂) = (0, −4)

Slope = `(-4 - 0)/(0 + 8) = (-4)/8 = (-1)/2`

The required equation is:

y − y₁ = m(x − x₁)

`y - 0 = (-1)/2(x + 8)`

2y = −x − 8

x + 2y + 8 = 0