Question

Find the x and why intercepts of the graph of the equation x + 2y = 10

NEED HELP ASAP

Answer 1

Explanation:

To find the x-intercept and y-intercept of the equation we need to understand what is an intercept. Intercept means to intersect/cut so x-intercept means the equation cuts the x-axis and y-intercept means the equation cuts the y-axis.

So if the equation cuts the x-axis the coordinate should be
`(x,0)` and if the equation cuts the y-axis the coordinate should be
`(0,y)` , and since the equation satisfies these both points in other words these two points lie on the line they can be put into the equation. So here we go,

For x-intercept

`x+2y=10\\x+2(0)=10\\x=10`

so the x-intercept is (10,0)

For y-intercept

`x+2y=10\\0+2y=10\\2y=10\\y=10/2\\y=5`

so the y-intercept is (0,5)

I also have attached an example of how intercepts looks like you can take a look i plotted the graph an you can see our answers check out.