Question
Write an equation in slope-intercept form for the line with \( y \)-intercept -6 and slope \( \frac{3}{4} \). \( \square=\square \frac{\square}{\square} \) \( \square \frac{\square}{\square} \)
Ask by Greene Stewart. in the United States
Mar 16,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The equation in slope-intercept form is \( y = \frac{3}{4}x - 6 \).
Solution
1. The slope-intercept form of a line is given by: \( y = mx + b \).
2. Here, the slope is \( m = \frac{3}{4} \) and the \( y \)-intercept is \( b = -6 \).
3. Substituting these values into the formula, we get:
\[
y = \frac{3}{4}x - 6
\]
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Simplify this solution Bonus Knowledge
To find the equation in slope-intercept form, we use the format \( y = mx + b \) where \( m \) is the slope and \( b \) is the \( y \)-intercept. Given a slope of \( \frac{3}{4} \) and a \( y \)-intercept of -6, the equation becomes \( y = \frac{3}{4}x - 6 \). So, you can fill in the blanks as follows: \( y = \frac{3}{4} x - 6 \).
