How do you determine the intercepts of #y=5x-13#?

Answer 1

The y-intercept is: -13 or (0, -13).

The x-intercept is 13/5 or (13/5, 0)

Because this equation is in the slope-intercept form #y = color(red)(m)x + color(blue)(b)#
Where #color(red)(m)# is the slope and and #color(blue)(b)# is the y-intercept we know for this equation the y-intercept is: -13 or (0, 13).
To find the #x# intercept we need to set #y = 0# and solve for #x#:
#0 = 5x - 13#
#0 + color(red)(13) = 5x - 13 + color(red)(13)#
#13 = 5x - 0#
#13 = 5x#
#13/color(blue)(5) = (5x)/color(blue)(5)#
#13/5 = (color(blue)(cancel(color(black)(5)))x)/cancel(color(blue)(5))#
#13/5 = x# or #x = 13/5#

Therefore the x-intercept is 13/5 or (13/5, 0)

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Answer 2

To determine the intercepts of the equation y = 5x - 13, you need to find the x-intercept and the y-intercept.

  1. To find the x-intercept, set y = 0 and solve for x: 0 = 5x - 13 5x = 13 x = 13/5 or 2.6

So, the x-intercept is (2.6, 0).

  1. To find the y-intercept, set x = 0 and solve for y: y = 5(0) - 13 y = -13

So, the y-intercept is (0, -13).

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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.

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.

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.

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.

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