Question

Graph a line that contains the point (-5,-3) and has a slope of -2

Answer 1

Given:

The line contains the point (-5,-3) and has a slope of -2.

To find:

The graph of the line.

Solution:

The line contains the point (-5,-3) and has a slope of -2. So, the equation of line is

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

where, m is slope.

$y-(-3)=-2(x-(-5))$

$y+3=-2(x+5)$

$y+3=-2x-10$

Subtracting 3 from both sides, we get

$y=-2x-10-3$

$y=-2x-13$

So, the equation of line is $y=-2x-13$.

Putting x=0, we get

$y=-2(0)-13$

$y=0-13$

$y=-13$

It means, the line also passes through (0,-13).

Plot the points (0,-13) and (-5,-3) on a coordinate plane and connect them by a straight line.

Therefore, the graph of given line is shown below.