Question
Find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line. Slope \( =-7 ; y \)-intercept \( =3 \) The equation is (Type an equation. Simplify your answer.)
Ask by Sanders Brooks. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The equation of the line is \( y = -7x + 3 \).
Solution
The slope-intercept form of a line is given by:
\[
y = mx + b
\]
where \( m \) is the slope and \( b \) is the y-intercept.
Given:
- Slope (\( m \)) = \(-7\)
- y-intercept (\( b \)) = \(3\)
Substituting these values into the equation:
\[
y = -7x + 3
\]
**Answer:**
\( y = -7x + 3 \)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
To find the equation of a line in slope-intercept form, we can use the formula \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. Here, the slope \( m = -7 \) and the y-intercept \( b = 3 \). So the equation is: \( y = -7x + 3 \). This is the slope-intercept form of the equation for the line. If you prefer the general form, you can rearrange it to \( 7x + y - 3 = 0 \). Either form works, depending on your needs!
