Question
Graph this line using the slope and
Ask by Bob Schultz. in the United States
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
To graph the line
Solution
Sure! Let’s graph the line given by the equation:
This equation is in slope-intercept form, which is:
where:
-
is the slope of the line. -
is the y-intercept (the point where the line crosses the y-axis).
Step 1: Identify the Slope and Y-Intercept
From the equation
- Slope (
): - Y-Intercept (
):
Step 2: Plot the Y-Intercept
Start by plotting the y-intercept on the graph.
- Point:
Step 3: Use the Slope to Find Another Point
The slope
- Rise:
(down 7 units) - Run:
(right 1 unit)
From the y-intercept
- Run 1 unit to the right:
- Rise
units:
- Second Point:
Step 4: Draw the Line
Connect the two points
Summary of Points to Plot
- Y-Intercept:
- Using Slope:
- Alternatively, you can find another point by moving left instead:
- Run -1 unit:
- Rise +7 units:
- Another Point:
- Run -1 unit:
Plot these points and draw the line through them to complete the graph of
If you’re using graphing software or an online graphing tool, you can input the equation
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Simplify this solution Beyond the Answer
To graph the line given by the equation
Next, use the slope, which is -7, to find another point. The slope of -7 can be interpreted as “down 7 units” for every “right 1 unit.” Starting from the
