Category 3: Writing Linear Equations

1. What is the equation in slope-intercept form of the line that passes through the points (−27, −18) and (18, 2)?

• 𝑨. 𝑦 = 4⁄9𝑥+6
• 𝑩. 𝑦 = 4⁄9𝑥−6
• 𝑪. 𝑦 = −4⁄9𝑥+6
• 𝑫. 𝑦 = −4⁄9𝑥−6

2. What is the equation in point-slope form of the line that passes through the points (2, 0) and (−2, 2)?

• 𝑭. 𝑦−2 = −1⁄2(𝑥+2)
• 𝑮. 𝑦+2 = −1⁄2(𝑥−2)
• 𝑯. 𝑦−2 = −2(𝑥+2)
• 𝑱. 𝑦+2 = −2(𝑥−2)

4. What is the equation in slope-intercept form of the line that passes through the points (−6, −17) and (8, 19⁄3)?

• 𝑭. 𝑦 = 5⁄3𝑥+7
• 𝑮. 𝑦 = 5⁄3𝑥−7
• 𝑯. 𝑦 = 0.6𝑥+7
• 𝑱. 𝑦 = 0.6𝑥−7

6. What is the equation in point-slope form that has a slope of 3 and passes through the point (−3, −6)?

• 𝑭. 𝑦+3 = 3(𝑥+6)
• 𝑮. 𝑦−3 = 3(𝑥−6)
• 𝑯. 𝑦+6 = 3(𝑥+3)
• 𝑱. 𝑦−6 = 3(𝑥−3)

7. A line has a slope of 3⁄2 and passes through the point (4, −5). Which of the following are equivalent forms of this same line? Choose 𝑻𝑾𝑶 correct answers.

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1. The graph of a linear function is shown on the grid. Which function is best represented by this graph?

• 𝑨. 𝑦 = −2𝑥+4
• 𝑩. 𝑦 = 2𝑥+4
• 𝑪. 𝑦 = 4𝑥−2
• 𝑫. 𝑦 = 4𝑥+2

2. The table represents some points on the graph of the linear function 𝑓. Which function represents 𝑓?

• 𝑭. 𝑓(𝑥) = −14(𝑥−2)+4
• 𝑮. 𝑓(𝑥) = −10(𝑥−3)−10
• 𝑯. 𝑓(𝑥) = −10(𝑥−1)+18
• 𝑱. 𝑓(𝑥) = −14(𝑥+2)−60

3. The table shows the percentage of battery power remaining on a laptop as a function of the time the laptop is used. Based on the table, which function models this situation?

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5. The table represents some points on the graph of a linear function. Which equation represents the same relationship?

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6. The graph of a linear function is shown on the grid. Which equation is best represented by this graph?

• 𝑭. 𝑦+9 = 2(𝑥−3)
• 𝑮. 𝑦+5 = 2(𝑥−1)
• 𝑯. 𝑦+3 = −2(𝑥−3)
• 𝑱. 𝑦+1 = −2(𝑥+1)