Lesson 8 Translating to y=mx+b

Lesson 8 Translating to y=mx+b

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Multiple Select

Select all the equations that have graphs with the same y-intercept.

• y=3x−8

• y=3x−9

• y=3x+8

• y=5x−8

• y=2x−8

Open Ended

Draw your graph in your notebook.

Fill in the Blanks

A cable company charges $70 per month for cable service to existing customers.

Find a linear equation representing the relationship between x, the number of months of service, and y, the total amount paid in dollars by an existing customer.

Write your equation in slope intercept form with no spaces between the = sign.

Fill in the Blanks

A cable company charges $70 per month for cable service to existing customers.

Find a linear equation representing the relationship between x, the number of months of service, and y, the total amount paid in dollars by an existing customer.

For new customers, there is an additional one-time $100 service fee. Repeat the previous problem for new customers.

List your equation in slope intercept form with no spaces between = symbols and + signs.

Fill in the Blanks

A mountain road is 5 miles long and gains elevation at a constant rate. After 2 miles, the elevation is 5500 feet above sea level. After 4 miles, the elevation is 6200 feet above sea level.

Find the elevation of the road at the point where the road begins.

Type the number only.

Multiple Choice

The graph represents the perimeter, y, in units, for an equilateral triangle with side length of x units. The slope of the line is 3.

• A

• B

• C

• D

Multiple Choice

The amount of money, y, in a cash box after x tickets are purchased for carnival games. The slope of the line is 1/4.

• A

• B

• C

• D

Multiple Choice

The number of chapters read, y, after x days. The slope of the line is 5/4. The graph shows the cost in dollars, y, of a muffin delivery and the number of muffins, x, ordered. The slope of the line is 2.

• A

• B

• C

• D