Question

What is the equation of the line that passes through the point (-5,2) and has a slope of 4/5

Answer 1

Answer:

4x - 5y + 30 = 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 $m = \frac{4}{5}$ and $(x_1 , y_1) = (-5,2)$.

Substituting in the equation we get

$(y - 2) = \frac{4}{5} (x + 5)$

$\implies 5y - 10 = 4x + 20$

$\implies 4x - 5y + 30 = 0$