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Sonja [21]
3 years ago
15

Find the x and y intercept of the line below 2x + 5y = 10

Mathematics
2 answers:
Dmitriy789 [7]3 years ago
5 0

Answer:

x - intercept = 5

y- intercept = 2

Step-by-step explanation:

2x + 5y = 10

Write the equation in   \frac{x}{a}+\frac{y}{b}=1  form

So, divide the equation by 10

\frac{2x}{10}+\frac{5y}{10}=\frac{10}{10}\\\\\frac{x}{5}+\frac{y}{2}=1

x - intercept = 5

y- intercept = 2

lana66690 [7]3 years ago
4 0

Answer:

(5,0) and (0,2)

Step-by-step explanation:

Basically, all we need to do is enter 0 for both variables. We can do this because the y-value of an x-intercept will always be 0, and the x-value of a y-intercept will always be 0.

So, to find the x-intercept we can set y equal to 0 and then solve for x.

2x+5(0)=10\\2x=10\\x=5

So the x-intercept will be (5,0).

We can do the same thing to find the y-intercept.

2(0)+5y=10\\5y=10\\y=2

The y-intercept is (0,2)

Hope this helps!

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