Question

1. The graph of a function is a straight line with a slope of 2 and a y -intercept of 7. What is the equation of the function? Write your answer in y=mx+b form.

____.

2. The equation of a function is y=−7x−12 . If this function were graphed, what would its slope be?

____.

3. Use the table to answer the question.

x y
11 58
20 103
Write the equation of the linear function that models the relationship shown in the table. Enter your answer in y=mx+b form.

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4. Use the image to answer the question.

An illustration shows a coordinate plane with four quadrants. The x-axis ranges from negative 6 to 6 in one unit increments. The y-axis ranges from negative 4 to 6 in one unit increments. An upward slanting line is graphed on the coordinate plane. The line passes through two plotted points. The points have coordinates at left parenthesis negative 3 comma negative 1 right parenthesis and left parenthesis 2 comma 4 right parenthesis.

Write the equation of the linear function shown on the graph. Enter your answer in y=mx+b form.

____.

5. Yesterday, Esperanza worked for 6 hours and earned $120. Today, Esperanza worked 8 hours and earned $156. Write the equation of the linear function that models the relationship between the number of hours Esperanza works and the amount of money she earns. Enter your answer in y=mx+b form.

____.

Answer 1

[AI-generated answer — Bot GPT 3.5]

1. y = 2x + 7

2. The slope of the function y = -7x - 12 is -7.

3. y = 5x + 3

4. y = x + 2

5. y = 9x + 66

Answer 2

number 5 is wrong the rest are correct

Answer 3

[AI-generated answer — Bot GPT 3.5]

Apologies for the mistake. Here is the corrected equation for number 5:

5. y = 12x + 48

Answer 4

Here's the question again:

Yesterday, Esperanza worked for 6 hours and earned $120. Today, Esperanza worked 8 hours and earned $156. Write the equation of the linear function that models the relationship between the number of hours Esperanza works and the amount of money she earns. Enter your answer in y=mx+b form.

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find the equation for this linear relationship, we need to calculate the slope (m) and y-intercept (b) using the given data points.

Using the two data points: (6, 120) and (8, 156)
First, let's find the slope (m):
m = (y2 - y1) / (x2 - x1)
m = (156 - 120) / (8 - 6)
m = 36 / 2
m = 18

Now that we have the slope (m), we can substitute it into the slope-intercept form equation (y = mx + b) and use one of the data points to solve for the y-intercept (b).

Using (6, 120) and the slope we found:
120 = 18(6) + b
120 = 108 + b
b = 120 - 108
b = 12

Therefore, the equation of the linear function is:
y = 18x + 12

Answer 6

Good Job 100%

Answer 7

[AI-generated answer — Bot GPT 3.5]

Thank you! I'm glad I could help. If you have any more questions or need further assistance, feel free to ask.