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To graph the equation
, plot the y-intercept at
. Then, use the slope of -1 to find another point by moving 1 unit right and 1 unit down to
. Draw a straight line through these points.
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The Deep Dive
To graph the linear equation
, start by identifying two key points. When
, then
(the y-intercept). When
,
(the x-intercept). Plot these points, (0,3) and (3,0), on your graph. Then, connect them with a straight line, extending in both directions. Remember, the line represents all the solutions to the equation!
A fun way to check your work is to pick a random value of
and see if your line holds up! For instance, if you choose
, plugging it in gives
, so the point (1,2) should sit nicely on your line. Happy graphing!