Answer:
The x-intercept is 2.
The y-intercept is 5.
Step-by-step explanation:
The x-intercept is basically finding what the value of x when y is 0; y-intercept is vise-versa.
The format it is currently in is not in y=mx+b form which makes you unable to put on a graph...HOWEVER, YOU ACTUALLY CAN!
You goal for these type of questions is to isolate y by itself.
[tex]-20x+8y=40\\8y=20x+40\\y=2.5x+5[/tex]
Your equation has been converted into y=mx+b which now can be used to easily find the x and y intercepts.
You can either look at a graph and find the x and y intercepts or do it algebraically.
Since, "x-intercept is basically finding what the value of x when y is 0", we plug in y with 0.
Solve for X-Intercept:
[tex]0=2.5x+5\\-5=2.5x\\-2=x[/tex]
X-Intercept is -2
Solve for Y-intercept:
[tex]y=2.5(0)+5\\y=5[/tex]
Y-Intercept is 5
