Unit 3 Lesson 8: Translating y = mx+b - Jill Bochniak | Biblioteka

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Carefully, select all the equations whose graphs have the same y-intercept.

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How are the graphs alike? How are they different?

Both lines have the same y intercept but different slopes.

Both lines have the same slope but the line y = -x is translated 4 units up to produce line y = -

x + 4, so they have different y-intercepts.

They are parallel lines with the same slope but one is positive and one negative.

1

A streaming music service service changes $6 per month of service to existing customers. For new customers, there is an additional one-time sign-up fee of $10. Choose the linear equation representing the relationship between x, the number of months of service, and y, the total amount paid in dollars by a customer. Existing customer:

y = x

y = 6x

y = 10x

1

A streaming music service service changes $6 per month of service to existing customers. For new customers, there is an additional one-time sign-up fee of $10. Choose the linear equation representing the relationship between x, the number of months of service, and y, the total amount paid in dollars by a customer. New customer:

y=x

y = 6x - 10

y = -6x + 10

y = 6x + 10

1

When y = 6x and y = 6x + 10 are graphed on the coordinate plane, how are the graphs similar? How are they different?

Both lines have the same slope but the line y = 6x is translated 10 units down to produce line y = 6x -10, so they have different y-intercepts.

Both lines have the same slope but the line y = 6x is translated 10 units up to produce line y = 6x + 10, so they have different y-intercepts.

Both lines have the different slopes but same y-intercepts.

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Here is the graph of line n. Which equation represents a line that is a translation of line n?

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1

A driving range charges $25 per hour for renting a space to hit golf balls. Here is a graph that represents the cost, y, of renting a space for x hours. Write an equation that represents the cost, y, of bowling x games without renting any shoes.

y = x

y = 25x

y = 25x +15

1

A driving range charges $25 per hour for renting a space to hit golf balls. Daniel went to the driving range and also rented a bucket of balls for $15. On the same coordinate plane, graph the relationship that represents the amount of money, y, that Daniel would spend after spending x hours at the driving range.

y = x

y = 25x

y = 25x +15

not enough information

1

Solve for x: 2x + 5 = 21

x = 16

x = 13

x = 8

1

Solve for a; 7a - 9a = -20

20

10

-10

-20

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2x + 3 = 9

x = 3

x = 6

x = 21

x = 7.5

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9 - 2x = 23

x = 7

x = -7

x = 20

x = -20