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How do you find the x and y intercepts of #5x-6y=30#?

Answer 1

Ethan Adkins

#x=6,y=-5#

#"to find the intercepts"#

#• " let x = 0, in equation for y-intercept"#

#• " let y = 0, in equation for x-intercept"#

#x=0to0-6y=30rArry=-5larrcolor(red)" y-intercept"#

#y=0to5x-0=30rArrx=6larrcolor(red)" x-intercept"# graph{5/6x-5 [-10, 10, -5, 5]}

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Answer 2

Jace Anderson

To find the x-intercept, set y to 0 and solve for x. To find the y-intercept, set x to 0 and solve for y.

x-intercept: 5x - 6(0) = 30 5x = 30 x = 30 / 5 x = 6

y-intercept: 5(0) - 6y = 30 -6y = 30 y = 30 / -6 y = -5

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.