Slope Practice Problems
Grades 7-9 · 5 problems
Practice calculating the slope of a line from two points or a graph. Understanding slope is crucial for linear equations and real-world applications.
Tip: Slope is a measure of how steep a line is. A positive slope goes up from left to right, a negative slope goes down, a zero slope is horizontal, and an undefined slope is vertical.
1
What is the slope of a line that passes through the points (1, 2) and (4, 8)?
2
A line rises 3 units for every 1 unit it runs horizontally. What is its slope?
3
A line passes through (2, 5) and has a slope of -1. What is the y-coordinate of the point on the line where x = 4?
4
What is the slope of a line that passes through the points (-3, -2) and (6, -2)?
5
Line A passes through (1, 4) and (5, 2). Line B passes through (3, -1) and (7, k). For what value of k are the lines parallel?
Common Mistakes
- Forgetting to subtract the x-coordinates or y-coordinates in the same order.
- Incorrectly simplifying fractions, leading to an inaccurate slope.
- Confusing rise and run when calculating slope from a graph.
- Not recognizing that a horizontal line has a slope of 0.
- Thinking that a steeper line always has a larger slope value (ignoring the sign).