Question

Use the intercepts to graph the equation9x-5y=45

Answer 1

So,

We're going to find the x and y intercepts of the equation so we could graph it.

Let's find the x-intercept first:

To find the x-intercept, what we do is to make y=0 and then solve the equation for x. This is:

`\begin{gathered} 9x-5y=45 \\ (y=0) \\ 9x-5(0)=45 \\ 9x=45 \\ x=5 \end{gathered}`

Therefore, the x-intercept is x=5 , y=0. Or (5,0) as well.

To find the y-intercept, we state something similar. We make x=0 and then solve the equation for y. This is:

`\begin{gathered} 9x-5y=45 \\ (x=0) \\ -5y=45 \\ y=-9 \end{gathered}`

Therefore, the y-intercept is x=0 y=-9, or (0,-9) as well.

Finally, to graph, we just plot both points and draw a line that passes through them. This is: