Johnston Mitchell
03/21/2023 · Middle School
Use the slope-intercept form of the linear equation to write the equation of the line with the given slope and \( y \)-intercept. Slope \( \frac{5}{7} ; y \)-intercept \( (0,0) \)
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Step-by-step Solution
The slope-intercept form of a linear equation is given by the formula:
\[
y = mx + b
\]
where \( m \) is the slope and \( b \) is the \( y \)-intercept.
Given:
- Slope \( m = \frac{5}{7} \)
- \( y \)-intercept \( b = 0 \) (since the point is \( (0,0) \))
Substituting these values into the slope-intercept form, we get:
\[
y = \frac{5}{7}x + 0
\]
This simplifies to:
\[
y = \frac{5}{7}x
\]
Thus, the equation of the line is:
\[
y = \frac{5}{7}x
\]
Quick Answer
The equation of the line is \( y = \frac{5}{7}x \).
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