Constructing Linear Functions

Construct a linear model for the graph.

Construct a linear model for the table.

A bakery has 125 cupcakes and is selling them at 15 per hour. Construct a linear model to represent the number of cupcakes in the bakery.

The slope of a line is 5 and passes through the point (2, -3).

If you are trying to find the y-intercept, what variable will NOT be replaced with a number in y = mx + b?

• y

• m

• x

• b

The slope of a line is 5 and passes through the point (2, -3).

If you are trying to find the y-intercept, what variable will be replaced with the number 2 in y = mx + b ?

• y

• m

• x

• b

If trying to find the y-intercept, what would be the next step?

• Subtract 2 from both sides

• Divide both sides by 2

• Add b and 7

• Multiply 2 and 7

If trying to find the y-intercept, what numbers are in the wrong place? Select all that apply.

• y

• m

• x

• b

What is the initial value in this graph?

• 0

• 7

• 3.5

A linear function will....

• ... have a constant rate of change and be a curved line

• ... have a constant rate of change and be a straight line.

• ... not pass the vertical line test

• ... graph as a curved line

Answer explanation

linear = constant rate of change = straight line

What is the initial value in this data set?

• 0

• 2

• 40

• 120

Answer explanation

It is the value of y when x=0