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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 cross the x-axis at (12, 0).
d. The graph will have a slope of -0.5.
2. Khari graphed the line below. Which equation could represent Khari's graph?
a. y = -2x - 3
b. y = 3x + 2
c. y = -4x + 4
d. y = 4x + 3
For each graph below, record the slope, y-intercept, and equation in slope-intercept form.
3. [Graph]
m: _______ b: _______
equation: _______________
4. [Graph]
m: _______ b: _______
equation: _______________
5. [Graph]
m: _______ b: _______
equation: _______________
6. Li wrote the equation below to represent the graph shown. Explain her errors and correct the equation.
y = 7x - 3
7. For a and b, 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 the task.
EZRA: y = -5x + 25
AALIYAH: y = 4x - 7
JACOBY: y = -3x - 11
PENNY: y = 4/5x - 20

Answer

  1. d. The graph will have a slope of -0.5.

  2. a. y = -2x - 3

  3. m: -1, b: 5
    equation: y = -x + 5

  4. m: 2, b: -1
    equation: y = 2x - 1

  5. m: -1/2, b: 4
    equation: y = -1/2x + 4

  6. Li's equation is incorrect because the slope is negative, not positive. The correct equation is y = -1/2x + 3.

  7. a. y = -x
    b. y = x - 1

  8. AALIYAH: y = 4x - 7

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