Adkins Stanley
03/14/2024 · Elementary School
slope \( =\frac{2}{3} ; y \)-intercept \( =0 \)
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Step-by-step Solution
The information you've provided describes the equation of a line in slope-intercept form, which is given by the formula:
\[
y = mx + b
\]
where \( m \) is the slope and \( b \) is the y-intercept.
In your case, the slope \( m = \frac{2}{3} \) and the y-intercept \( b = 0 \). Therefore, the equation of the line can be written as:
\[
y = \frac{2}{3}x + 0
\]
This simplifies to:
\[
y = \frac{2}{3}x
\]
This line passes through the origin (0,0) since the y-intercept is 0. The slope indicates that for every 3 units you move to the right along the x-axis, the line rises 2 units on the y-axis.
Quick Answer
The equation of the line is \( y = \frac{2}{3}x \).
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