Question
The equation of a line is given below.
Find the
-intercept and the
-intercept.
Then use them to graph the line.
-intercept:
Then use them to graph the line.
Ask by Ford Burgess. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The
-intercept is
.
Solution
-
To find the
-intercept, set in the equation: Solve for: Therefore, the-intercept is . -
To graph the line, you can also find the
-intercept by setting : Solve for: So, the-intercept is .
To graph the line, plot the two intercepts
and
on the coordinate plane and draw a line through them.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Extra Insights
To find the
-intercept, set
in the equation
. Plugging in
, we have
, which simplifies to
. Therefore, the
-intercept is
.
Now for the
-intercept, set
. Inserting
gives us
, leading to
. Thus, the
-intercept is
.
To graph the line, plot the intercepts at points
and
on a coordinate plane, and draw a straight line through them. Voila! You’ve got a colorful visual representation of your equation!