Question
Write the equation of a line in slope-intercept form with a slope of 3 and a y-intercept of -2.
Ask by Stewart Dawson. in India
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The equation of the line is \( y = 3x - 2 \).
Solution
The **slope-intercept form** of a linear equation is:
\[ y = mx + b \]
where:
- \( m \) is the **slope** of the line.
- \( b \) is the **y-intercept** (the point where the line crosses the y-axis).
Given:
- **Slope (\( m \))** = 3
- **Y-intercept (\( b \))** = -2
Plugging these values into the slope-intercept form:
\[ y = 3x - 2 \]
**So, the equation of the line is:**
\[ y = 3x - 2 \]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
The equation of your line in slope-intercept form is \(y = 3x - 2\). This means for every unit you move to the right along the x-axis, the line rises 3 units, starting from -2 on the y-axis. To visualize this line, you can plot the y-intercept at (0, -2) and use the slope to find another point, such as moving to (1, 1) by going up 3 units and right 1 unit! Connecting these points will reveal your line in action.
