Question

Find the equation of the line whose slope is ${\displaystyle -\frac{5}{6}}$ and x-intercept is 6.

Answer 1

Since, x-intercept is 6, so the corresponding point on x-axis is (6, 0).

Slope = m = ${\displaystyle \frac{-5}{6}}$

Required equation of the line is given by:

y – y₁ = m(x – x₁)

${\displaystyle y-0=\frac{-5}{6}(x-6)}$

6y = –5x + 30

5x + 6y = 30