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What are the intercepts of #y=2x-5#?

Answer 1

Ethan Adkins

For the intercepts you set #x=0# and #y=0# in turns.

#x=0# gives the #y#-intercept: #y=2*0-5=-5->(0,-5)#

#y=0# gives the #x#-intercept: #0=2x-5->2x=5->x=2 1/2->(2 1/2,0)# graph{2x-5 [-4.17, 15.83, -6.56, 3.44]}

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Answer 2

Kennedy Adams

To find the intercepts of the equation y = 2x - 5, we set each variable to zero and solve for the other variable.

For the y-intercept, we set x = 0: y = 2(0) - 5 y = -5

For the x-intercept, we set y = 0: 0 = 2x - 5 2x = 5 x = 5/2 or 2.5

So, the y-intercept is -5 and the x-intercept is 2.5.

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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.