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Hunter-Best [27]
3 years ago
15

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

Mathematics
1 answer:
umka21 [38]3 years ago
8 0

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.

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