Question

find the x- and y-intercepts:
5y-x=10

Answer 1

to find the x-intercept of this equation, you'd want to set the y to zero.
Likewise, to find the y-intercept, you'd want to set the x to zero.

Answer 2

So for example, if you want to find your y-intercept, set the equation like this:
5y-0=10
^
Here, we set the x to equal 0. Now, all you need to do is solve for y. Quite simple.

Answer 3

so x-intercept is 2 and the y is -10?

Answer 4

other way around. the y-intercept is -10 and the x-intercept is 2. But yes, the numbers are correct. Nice job! :)

Answer 5

thanks

Answer 6

No problem

Answer 7

What about 2y+8x=-14?

Answer 8

Apply the same rule:
\(\color{green}{\ast}\)to find the x-intercept, zero the y
\(\color{green}{\ast}\)to find the y-intercept, zero the x

Try it on your own, I'll check your answers

Answer 9

@tcorris do you need a hint?

Answer 10

i have no idea

Answer 11

alright. So you do understand what I mean by "zero-ing" right? Basically, you just replace the offending variable with a zero

To find the y-intercept, your equation becomes this: 2y+8(0)=-14
You can simplify that to become 2y=-14

To find the x-intercept, your equation becomes this: 2(0)+8x=-14
You can simplify that to become 8x=-14

Then once both equations are simplified down, all you need to do is solve for x (to find the x-intrecept) and solve for y (to find the y-intercept)

Answer 12

I can't tell for the x but is the y -7?

Answer 13

the y-intercept is -7, that's correct

Answer 14

I've already given you the equation to find the x-intercept, which is 8x=-14

to solve this, divide both sides by 8 to isolate the x

8x=-14
/8 /8
-------
x=??

now all you have to do is divide -14 by 8. that is your x-intercept. Does that make sense?

Answer 15

-1.75?

Answer 16

right! Just turn that into a fraction. which would be \(\Large\frac{-7}{4}\)

Answer 17

and that is your x-intercept. Do you understand now? All you have to do to find your x and y intercepts every single time is to zero the x and y variables in your equation. Hope this makes sense

Answer 18

for 3x+4= y would the x be -1.3 and the y be 4?