Question

Graph the equation using the slope and the y-interceptY=-8/5x-4

Answer 1

We got the linear equation:

$y=\frac{-8}{5}x-4$

The slope of this line will be -8/5 and the y-intercept will be -4.

To graph it, first find the intercept with x - axis.

We can find it if we equal the equation to zero.

$\begin{gathered} \frac{-8}{5}x-4=0 \\ \\ -\frac{8}{5}x=4 \\ \\ x=-\frac{20}{8}=-\frac{10}{4}=-\frac{5}{2} \end{gathered}$

Now, we got two points:

$(-\frac{5}{2},0),(0,-4)$

To graph the function, we only join these points:

So that's the graph for the function.