How do you calculate the slope, x intercept, and y intercept of the following equation: #y = x + 3#?

Answer 1

Slope is #1#
The y-intercept is #3#

A linear equation in the form #color(white)("XXXX")##y = mx+b# is in slope intercept form #color(white)("XXXX")#with slope #=m# #color(white)("XXXX")#and y intercept #=b#

#y = x +3 # Which could be written as #y = 1x+3# is in the slope intercept form.

Therefore, we can read the slope and y intercept values straight from the equation.

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Answer 2

Savannah Anderson

To calculate the slope, x-intercept, and y-intercept of the equation y = x + 3:

Slope: Since the equation is in slope-intercept form (y = mx + b), where m represents the slope, the slope is 1.
X-intercept: To find the x-intercept, set y = 0 and solve for x. So, 0 = x + 3. Solving for x gives x = -3. Therefore, the x-intercept is (-3, 0).
Y-intercept: The y-intercept occurs when x = 0. Substitute x = 0 into the equation y = x + 3. So, y = 0 + 3, which simplifies to y = 3. Therefore, the y-intercept is (0, 3).

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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.