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What are the intercepts of #-4y+2x=3#?

Answer 1

x-intercept #=3/2#
y-intercept #=-3/4#

This is a linear equation. That is, the equation of a straight line.

When this line crosses the x-axis- the x-intercept, the corresponding y-coordinate at this point will be zero. Substitute y = 0 into the equation to obtain x-intercept.

#rArry=0 " gives " 0+2x=3rArrx=3/2#

Similarly, when the line crosses the y-axis- the y-intercept, the corresponding x-coordinate will be zero. Substitute x = o into equation to obtain y-intercept.

#rArr-4y+0=3rArry=3/(-4)=-3/4# graph{.5x-.75 [-10, 10, -5, 5]}

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Answer 2

Savannah Anderson

To find the intercepts of the equation -4y + 2x = 3, you can set one variable to zero at a time and solve for the other variable.

To find the x-intercept, set y = 0 and solve for x: -4(0) + 2x = 3 2x = 3 x = 3/2

So, the x-intercept is (3/2, 0).

To find the y-intercept, set x = 0 and solve for y: -4y + 2(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.