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How do you find the x and y intercepts for #y + 4x = 4 #?

Answer 1

Savannah Anderson

y intercept at #y=4#
x intercept at #x=1#

This is an equation of a straight line #y=mx+c#

#color(blue)("Determine the x intercept")#

The graph crosses the x axis at y=0

#color(brown)(y+4x=4)color(blue)(->0+4x=4)#

Thus #color(green)(x_("intercept")=1)# '~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #color(blue)("Determine the y intercept")#

The graph crosses the y axis at x=0

#color(brown)(y+4x=4)color(blue)(->y+4(0)=4)#

Thus #color(green)(y_("intercept")=4)#

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Answer 2

Hazel Anglin

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

For the x-intercept: 0 + 4x = 4 x = 1

For the y-intercept: y + 4(0) = 4 y = 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.