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

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Answer 1 · 2017-02-07T23:14:51

Identify that the equation is linear.

There are no exponents or radicals involved.

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

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

$(0) = - x + 5$ $(0)=-x+5$

$x = 5$ $x=5$

$P_{1} = (5, 0)$ $P_1=(5,0)$

$y = - (0) + 5$ $y=-(0)+5$

$y = 5$ $y=5$

$P_{2} = (0, 5)$ $P_2=(0,5)$

Plot these points and draw a line connecting them:

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

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