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.