Question

Use point-slope form to write the equation of a line that passes through the point (-8,-16)(−8,−16) with slope 11.

Answer 1

The general point-slope equation of a line is:

`y=m\cdot(x-x_0)+y_0\text{.}`

Where:

• m is the slope of the line,

,

• and (x0,y0) are the coordinates of one of the points of the line.

In this problem we have:

• m = 11,

,

• (x0,y0) = (-8,-16).

Replacing these values in the general equation, we have:

`y=11\cdot(x+8)-16`

Answer

The point-slope equation of the line is:

`y=11\cdot(x+8)-16`