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

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

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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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

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other way around. the y-intercept is -10 and the x-intercept is 2. But yes, the numbers are correct. Nice job! :)
thanks
No problem
What about 2y+8x=-14?
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
@tcorris do you need a hint?
i have no idea
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)
I can't tell for the x but is the y -7?
the y-intercept is -7, that's correct
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?
-1.75?
right! Just turn that into a fraction. which would be \(\Large\frac{-7}{4}\)
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
for 3x+4= y would the x be -1.3 and the y be 4?

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