Question

find the equation of the line that fits the description.passes through (-8,-4) and has zero slope. simplify your answer

Answer 1

`y=-8`

Explanation:

Use the point-slope form of a linear function, which is represented by the following equation;

`\begin{gathered} y-y_0=m(x-x_0) \\ where, \\ (x_0,y_0)\text{ is the given point} \\ m=\text{ slope} \end{gathered}`

Therefore, if the line passes through the point (-8,-4) and has zero slope:

`\begin{gathered} y+8=0(x+4) \\ y=-8 \end{gathered}`

The line is horizontal therefore the line equation is y=-8.