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How do you graph the equation #y=-x+5#?

Answer 1

Julia Adams

Identify that the equation is linear.

There are no exponents or radicals involved.

You can pick two arbitrary values for #x# and plug them in; plot the points; and draw a line connecting the two.

Or, you can set #x# and then #y# to be equal to #0# and solve to get the two possible intercepts.

#(0)=-x+5#

#x=5#

#P_1=(5,0)#

#y=-(0)+5#

#y=5#

#P_2=(0,5)#

Plot these points and draw a line connecting them:

graph{-x+5 [-6.79, 13.21, -2.28, 7.72]}

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Answer 2

Savannah Anderson

To graph the equation y = -x + 5, you would plot points on a coordinate plane where the x-coordinate represents the input value (x) and the y-coordinate represents the output value (y). Since this equation is in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, the y-intercept is 5 and the slope is -1. Starting from the y-intercept (0, 5), you would move down 1 unit and to the right 1 unit to find another point, and continue this pattern to draw a line.

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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.