# Algebra 1 - 6.2 Homework, Part 2 (Graphing From Slope-intercept Form)

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Graphing a linear equation in slope intercept form.

• 1.

### True or false the following is the graph of:

• A.

True

• B.

False

A. True
Explanation
The question is asking if the given graph is true or false. Since the answer is "True," it means that the graph shown is indeed true and accurately represents the information or data being depicted.

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• 2.

• A.

True

• B.

False

A. True
• 3.

### True or false the following is the graph of:

• A.

True

• B.

False

A. True
Explanation
The given question does not provide any information about the graph being referred to. Therefore, it is not possible to provide an explanation for the correct answer without knowing the context or details of the graph.

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• 4.

### True or false the following is the graph of:

• A.

True

• B.

False

A. True
Explanation
The explanation for the given correct answer is not available.

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• 5.

• A.

True

• B.

False

B. False
• 6.

• A.

True

• B.

False

A. True
• 7.

### True or False, given the following scenario the graph below matches the given equation: A music store is offering a coupon promotion on its CD's. The regular price for CD's is \$14. With the coupon, customers are given \$4 off the total purchase. The equation t = 14c - 4, where c is the number of CD's and t is the total cost of the purchase, models this situation.

• A.

True

• B.

False

A. True
Explanation
The given equation t = 14c - 4 accurately models the situation described in the scenario. It represents the total cost of the purchase (t) as a function of the number of CDs purchased (c). The equation takes into account the regular price of the CDs (\$14) and the \$4 discount provided by the coupon. By substituting different values for c into the equation, one can calculate the corresponding total cost of the purchase. Therefore, the graph of this equation would indeed match the given scenario.

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• 8.

### A music store is offering a coupon promotion on its CD's. The regular price for CD's is \$14. With the coupon, customers are given \$4 off the total purchase. The equation t = 14c - 4, where c is the number of CD's and t is the total cost of the purchase, models this situation. Find the total cost for a sale of 6 CD's

80
\$80
Explanation
The equation t = 14c - 4 represents the total cost of the purchase, where c is the number of CDs. To find the total cost for a sale of 6 CDs, we substitute c = 6 into the equation. t = 14(6) - 4 = 84 - 4 = 80. Therefore, the total cost for a sale of 6 CDs is \$80.

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• 9.

### Find the slope and y-intercept of each equation.

• A.

M = 1/2; b = 0

• B.

M = -1/2; b = 0

• C.

M = 0; b = 1/2

• D.

M = 0; b = -1/2

B. M = -1/2; b = 0
Explanation
The given answer states that the slope (m) is -1/2 and the y-intercept (b) is 0. This means that the equation of the line can be written as y = (-1/2)x + 0, which simplifies to y = -1/2x. The slope of -1/2 indicates that for every 1 unit increase in x, y will decrease by 1/2 unit. The y-intercept of 0 means that the line passes through the origin (0,0).

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• 10.

### Find the slope and y-intercept of each equation.

• A.

M = 3/2; b = 3

• B.

M = -3/2; b = 3

• C.

M = 3/2; b = -3

• D.

M = -3/2; b = -3

A. M = 3/2; b = 3
Explanation
The slope-intercept form of an equation is y = mx + b, where m represents the slope and b represents the y-intercept. In this case, the given equation has a slope of 3/2 and a y-intercept of 3. This means that for every increase of 2 in the x-coordinate, the y-coordinate will increase by 3. The y-intercept indicates that the line crosses the y-axis at the point (0, 3).

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• 11.

### Find the slope and y-intercept of each equation.

• A.

M = 9; b = 15

• B.

M = -9; b = 15

• C.

M = 9; b = -15

• D.

M = -9; b = -15

C. M = 9; b = -15
Explanation
The slope of the equation is 9, which means that for every increase of 1 in the x-coordinate, the y-coordinate increases by 9. The y-intercept is -15, which means that the equation crosses the y-axis at the point (0, -15).

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• 12.

### True or false the following is the graph of:

• A.

True

• B.

False

A. True
Explanation
The given question does not provide any information or context about the graph being referred to. Hence, it is not possible to provide an explanation for the correct answer without any additional details.

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• 13.

• 14.

2662
2,662
• 15.

### A group of mountain climbers begin an expedition with 265 lb of food. They plan to eat a total of 15 lb of food per day. Write an equation in slope-intercept form relating the remaining food supply r to the number of days d.

r = 265 - 15d
r=265-15d
Explanation
The equation r = 265 - 15d represents the remaining food supply r in pounds as a function of the number of days d. The initial food supply is 265 lb, and each day they consume 15 lb of food. Therefore, the remaining food supply decreases by 15 lb for each day that passes. The equation is in slope-intercept form, where the slope is -15 (indicating a decrease of 15 lb per day) and the y-intercept is 265 (representing the initial food supply).

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• 16.

### True or false, the following graph models the situation above (A group of mountain climbers begin an expedition with 265 lb of food. They plan to eat a total of 15 lb of food per day.)

• A.

True

• B.

False

A. True
Explanation
The graph models the situation above because it shows the starting point of 265 lb of food and a downward slope representing the daily consumption of 15 lb of food. This indicates that the amount of food decreases over time, which aligns with the given information that the mountain climbers plan to eat 15 lb of food per day. Therefore, the correct answer is true.

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• 17.

### Using the equation that you came up with in problem 15, on what day will the group run out of food?

18
18th
Explanation
The given answer is "18, 18th". This suggests that according to the equation derived in problem 15, the group will run out of food on the 18th day.

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