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Slope and Graphing
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Slope and Graphing
📚 Part 1: Multiple Choice
1. Find the slope of the line through (2, 3) and (5, 11).
8/3
4/3
-8/3
3/8
2. Which equation has a slope of -1/2?
y = -1/2 x + 4
y = 2x - 1/2
y = -2x + 1/2
y = 1/2 x - 2
3. Check all that describe a proportional relationship.
The graph is a line through the origin (0,0)
The equation can be written y = mx + b with b = 0
The slope m must be positive
For each x, there is exactly one y (it's a function)
4. The graph passes through (0,0) and (3,6). What is the slope?
2
1/2
3
6
✏️ Part 2: Short Answers & Matching
5. Calculate the slope between the points (-2, 4) and (1, -2). Show work.
6. Write the equation in slope-intercept form for a line with slope m = 2 and y-intercept b = -1.
7. Graphing: Sketch the line y = -1/2 x + 3 on the grid below. Start at the y-intercept and use rise/run to plot a second point.
8. Interpretation: A graph shows cost (y in dollars) vs. number of items (x) and has equation y = 1.5x. What does the slope 1.5 represent in context?
9. Match each linear equation (left) with its slope (right). Draw a line to match.
A. y = 3x - 2
B. y = -1/2 x + 4
C. y = 0.5x
D. y = 0x + 5
1. 0
2. 3
3. -1/2
4. 1/2
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