Question

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

Answer 1

We got the linear equation:

`y=(-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} (-8)/(5)x-4=0 \\ \\ -(8)/(5)x=4 \\ \\ x=-(20)/(8)=-(10)/(4)=-(5)/(2) \end{gathered}`

Now, we got two points:

`(-(5)/(2),0),(0,-4)`

To graph the function, we only join these points:

So that's the graph for the function.