What are the intercepts of #-4y+4x=3#?

Answer 1

x-intercept: #3/4color(white)("XXXXXXXX")#y-intercept: #-3/4#

The x-intercept is the value of #x# when #y=0# #color(white)("XXX")-4(0)+4x=3 color(white)("XX")rarrcolor(white)("XX") 4x=3color(white)("XX") rarrcolor(white)("XX") x=3/4#

Similarly, the y-intercept is the value of #y# when #x=0# #color(white)("XXX")-4y+4(0)=3 color(white)("XX")rarrcolor(white)("XX") -4y=3 color(white)("XX")rarr color(white)("XX")y=-3/4#

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Answer 2

Julia Adams

To find the intercepts of the equation -4y + 4x = 3, you can set one of the variables to zero and solve for the other variable.

To find the x-intercept, set y = 0: -4(0) + 4x = 3 4x = 3 x = 3/4 So, the x-intercept is (3/4, 0).
To find the y-intercept, set x = 0: -4y + 4(0) = 3 -4y = 3 y = -3/4 So, the y-intercept is (0, -3/4).

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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.