Question
Write the equation in slope-intercept form (if possible) and graph the line.
Part:
Ask by Hampton Li. in the United States
Mar 28,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The equation
is converted to slope-intercept form as
. The line can be graphed using points such as (0,0), (1,1), and (-1,-1). Unfortunately, I cannot generate the graph directly, but you can plot these points on a coordinate plane to visualize the line.
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The Deep Dive
To convert the equation
into slope-intercept form, simply isolate
. Rearranging gives us
. Now you can see the slope is 1 and the y-intercept is 0, which means the line crosses the origin.
To graph this line, start at the point (0, 0) on the Cartesian plane. From there, apply the slope: for every unit you move right (positive direction), move up one unit. Draw a straight line through these points, extending it in both directions. Voilà! You’ve got your line beautifully graphed!
Now, let’s make sure you remember: always double-check if your final equation is indeed in the format
, especially when rearranging equations. It’s a common pitfall to forget to isolate the variable correctly or mix up your signs. Practice makes perfect!