Question

What is the equation of the line that passes through the point (3,-7) and has a slope of -4/3?

Answer 1

Answer:

4x + 3y + 9 = 0

Step-by-step explanation:

When a slope of a line and a point passing through it is given then we use slope - one point form to determine the equation of the line.

It is given by:

                      $(y - y_1) = m (x - x_1)$

where $m$ is the slope of the line and

           $(x_1, y_1)$ is the point passing through it.

Here, $m = \frac{-4}{3}$ and $(x_1 , y_1) = (3 , -7)$.

Substituting in the formula $y + 7 = \frac{-4}{3} (x - 3)$

$\implies 3y + 21 = -4x + 12$

$4x + 3y + 9 = 0$