For a straight-line graph written in the form y = mx + b, what do the constants m and b represent?
Am is the y-intercept and b is the slope
Bm is the rise and b is the run of the line
Cm is the slope and b is the y-intercept
Dm is the run and b is the rise of the line
Answer & Solution
Correct answer: C. m is the slope and b is the y-intercept
1. In the straight-line form y = mx + b, the constant m is the slope.
2. The slope is the rise divided by the run of two points on the line.
3. The constant b is the y-intercept, the y-value when x is zero.
4. Applied to motion, m becomes the average velocity and b becomes the position at time zero.
_Source: OpenStax College Physics (CC BY 4.0), Ch 2 "Kinematics", section 2.8 Graphical Analysis of One-Dimensional Motion_
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