Question

Find the x and y intercept of the line below

2x + 5y = 10

Answer 1

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

Answer 2

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!