Question
L. L slope-intercept form: find the slope and \( y \)-intercept not Find the slope of the line \( y=-\frac{4}{3} x+3 \). Write your answer as an integer or as a simplified proper or improper fraction.
Ask by Nguyen Stewart. in the United States
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The slope is \(-\frac{4}{3}\).
Solution
1. The equation of the line is given in slope-intercept form:
\[
y = mx + b
\]
where \( m \) is the slope and \( b \) is the \( y \)-intercept.
2. The given equation is:
\[
y = -\frac{4}{3} x + 3
\]
3. In this equation, the slope \( m \) is the coefficient of \( x \).
4. Therefore, the slope is:
\[
m = -\frac{4}{3}
\]
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Simplify this solution Beyond the Answer
The slope of the line given in the slope-intercept form \( y = mx + b \) is represented by \( m \). In this case, the equation \( y = -\frac{4}{3} x + 3 \) shows that the slope \( m \) is \( -\frac{4}{3} \). The \( y \)-intercept \( b \) is the point where the line crosses the \( y \)-axis, which in this equation is \( 3 \). This represents the vertical distance from the origin (0,0) to the point (0,3) on the \( y \)-axis! Need a reminder of how to graph? Plot the \( y \)-intercept at (0,3) and then use the slope to find another point. For every 4 units you move down, move 3 units to the right to find another point on the line!
