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 Martin Burns. in the United States
Mar 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
a. Slope-Intercept Form
b. Slope and
- Slope (
): -
-Intercept ( ): (at point )
c. Graphing the Function
- Plot the
-intercept at . - Use the slope
to find another point: move 7 units right and 5 units up to . - Draw a straight line through these points.
This line represents the graph of
Solution
a. Rewrite the equation in slope-intercept form
We start with the given equation:
To solve for
b. Identify the slope and
The equation is now in the form:
where
From the equation
- The slope is
. - The
-intercept is , which corresponds to the point .
c. Graph the linear function
-
Plot the
-intercept:
Mark the pointon the coordinate plane. -
Use the slope to find a second point:
The slopeindicates that for every units moved to the right (horizontal change), the graph moves units up (vertical change).
Starting at, move units to the right to and then move units up to . -
Draw the line:
Draw a straight line through the pointsand , extending it in both directions.
This line represents the graph of the function:
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Explain 
Simplify this solution Extra Insights
To rewrite the equation
This is now in the form
The slope
To graph this linear function, start at the y-intercept (0, 0) on the coordinate plane. Since the slope is
