Question

What is the x-and y-intercept of the graph 4x -5y =40??

Answer 1

Answer:

x-intercept = 10

y-intercept = -8

Step-by-step explanation:

$4x-5y=40$

To identify the y-intercept, we will need to format the equation in the form $y=mx+b$. We can start by subtracting $4x$ from both sides of the equation:

$-5y=-4x+40$

Divide both sides of the equation by the coefficient of $y$, which is $-5$:

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

The $b$ is representative of the y-intercept in $y=mx+b$.

Identify $b$ in the equation $y=\frac{-4}{-5} x - 8$:

$b=-8$

Therefore, our y-intercept is -8.

To solve for the x-intercept, replace the $y$ in the equation $y=\frac{-4}{-5} x - 8$ with a zero:

$0=\frac{-4}{-5} x - 8$

Add $8$ to both sides of the equation:

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

You can go ahead and divide $-4$ by $-5$ to get rid of the fraction:

$8=0.8x$

Divide both sides of the equation by the coefficient of $x$, which is $0.8$:

$10=x$

Therefore, our x-intercept is 10.