Question

Find the x and y intercept of the line below

2x + 5y = 10

Answer 1

(5,0) and (0,2)

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!

Answer 2

x - intercept = 5

y- intercept = 2

Explanation:

2x + 5y = 10

Write the equation in
`(x)/(a)+(y)/(b)=1` form

So, divide the equation by 10

`(2x)/(10)+(5y)/(10)=(10)/(10)\\\\(x)/(5)+(y)/(2)=1`

x - intercept = 5

y- intercept = 2