Question

What is the equation of the line that passes through the point (7,-6)and has a slope of -2

Answer 1

Answer:

The equation of the required line is: 2x + y = 8

Step-by-step explanation:

When a point on the line and the slope of the line are given, we use the slope - one - point form to determine the equation of the line.

Say, $(x_1, y_1)$ is the point passing through the line and the slope of the line is say, $m$. Then the equation would be:

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

Here $(x_1, y_1) = (7, -6)$ and slope, $m = - 2$.

Therefore, the equation of the line becomes:

$y - (-6) = -2(x - 7)$

$\implies y + 6 = -2x + 14$

Rearranging we get:

$2x + y - 8 = 0$ which is the required equation of the line.