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Harper is going to create a graph of the equation y = 0.5x - 12. Which of the following will be true about...

1. Harper is going to create a graph of the equation y = 0.5x - 12. Which of the following will be true about the graph?
A. The graph will contain the origin.
B. The graph will increase from left to right.
C. The graph will decrease from left to right.
D. The graph will have a slope of -0.5.
2. Khar graphed the line below. Which equation could represent Khar's graph?
A. y = 2x + 3
B. y = 2x - 4
C. y = -2x + 3
D. y = -2x - 4
3. For each graph below, record the slope, y-intercept, and equation in slope-intercept form.
4. For each graph below, record the slope, y-intercept, and equation in slope-intercept form.
5. For each graph below, record the slope, y-intercept, and equation in slope-intercept form.
6. Li wrote the equation below to represent the graph shown. Explain her errors and correct the equation.
y = -2x - 3
7. For 6 and 8, write an equation in slope-intercept form that meets the given criteria.
A. A negative slope and passes through the origin.
B. Slopes upward from left to right and has a y-intercept below the x-axis.
8. Mr. Brown asked his students to write an equation that represents a line with a positive slope and a negative y-intercept. Circle the name of any student who correctly completed this task.
EZRA: y = -5x + 25
AALIYAH: y = 4x - 7
JACORY: y = -3x - 11
PENNY: y = 4x - 20

Answer

  1. B. The graph will increase from left to right. The slope is positive (0.5), indicating an increasing graph.

  2. B. y = 2x - 4 The graph has a positive slope and a y-intercept of -4.

  3. Graph 1: Slope = -1, y-intercept = 2, Equation: y = -x + 2

  4. Graph 2: Slope = 1/2, y-intercept = -3, Equation: y = 0.5x - 3

  5. Graph 3: Slope = 3, y-intercept = -1, Equation: y = 3x - 1

  6. Li's error: The slope is incorrect. The correct equation is y = -2x + 3.

  7. A: y = -x (negative slope, passes through origin)

    B: y = 2x - 5 (positive slope, y-intercept below x-axis)

  8. AALIYAH: y = 4x - 7 and PENNY: y = 4x - 20 both have positive slopes and negative y-intercepts.

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