Question

Write an equation of the line with the given properties. Your answer should be written in standard form.

m = 0 passing through P(-9,-3)

Answer 1

Given:

The slope of the line is m=0.

The line passes through the point P(-9,-3).

To find:

The equation of the line in standard form.

Solution:

Standard form of a line is:

`Ax+By=C`

The slope intercept form of the line is

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

Where, m is the slope and
`(x_1,y_1)` is the point on the line.

It is given that the slope of the line is 3 and it passes through the point (-9,-3), so the equation of the line is

`y-(-3)=0(x-(-9))`

`y+3=0`

`y=-3`

Therefore, the standard form of the given line is
`y=-3`.