Question
a. Rewrite the given equation in slope-intercept form by
solving for
b. Give the slope and
c. Use the slope and
function.
solving for
b. Give the slope and
c. Use the slope and
function.
Ask by Bowen Li. in the United States
Mar 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
a. Rewrite the equation in slope-intercept form:
b. Slope (
c. To graph the function:
- Plot the
-intercept at . - Use the slope
to find another point, such as . - Draw a straight line through these points.
Solution
-
Rewrite in Slope-Intercept Form:
Starting withsubtractfrom both sides to solve for : This can be rewritten as -
Identify Slope and
-intercept:
In the slope-intercept form, the slope is and the -intercept is . - Slope:
-
-intercept:
- Slope:
-
Graph the Linear Function:
- First, plot the
-intercept at . - Next, use the slope
which tells you that for every 1 unit increase in , decreases by 3. From the point , moving 1 unit to the right gives and , so plot the point . - Similarly, you can use the slope in the opposite direction: moving 1 unit to the left (i.e.,
), , and plot the point . - Draw a straight line through these points to complete the graph.
- First, plot the
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Simplify this solution The Deep Dive
To rewrite the equation
Here, the slope (m) is
For graphing, start at the y-intercept point (0, 8) on the y-axis. From there, use the slope of
