Slope and Y-Intercept Applications

What is the slope in the equation:  y=4x+3

• 3

• 4x

• 4

• x

What is the y-intercept in the following equation:  y=-4x-5

• -4

• -4x

• 5

• -5

Determine the slope and y-intercept from the following equation:   y = 3/2x + 3

• slope: 5   y-intercept:  (0,3) 

• slope: 3/2   y-intercept:  (0,3) 

• slope:  4  y-intercept:  (0,3/2)

• slope: 1/5   y-intercept:  (0,5) 

Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.

• y = 4x + 1.50

• y = 1.50x + 4

Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. What equation best represents how much his tenants will now have to pay?

• y = 425x + 600

• y = 425 + 600x

• y = 400x + 625

• y = 400 + 625x

A local donut shop charged $6.50 for a dozen and provided a coupon in the newspaper for $1.50 off an order. Since the donut shop has gained popularity they have changed their coupon which now provides a discount of only half their original coupon's value. What is the equation that represents the value of a customer's order who uses the new coupon with their order?

• y = 6.50x - 0.75

• y = 6.50x + 0.75

• y = 6.50x - 1.50 - 0.75

• y = 5x - 0.75

Compare the two linear functions listed below and determine which has a greater slope.

• Function 1 because the slope is 3/2

• Function 2 because the slope is 1

• Function 1 because the slope is 2/3

• They are equal 

Compare the two linear functions listed below and determine which has a greater slope.

• Function 1 because the slope is 12

• Function 2 because the slope is 1

• Function 1 because the slope is 1/12

• They are equal 

What is the slope of the line with the equation 2y = 10x + 5?
(HINT: SOLVE FOR Y FIRST!)

• 10

• 5

• 5/2

• 8

What is the y-intercept of the line with the equation 3y + 12 = 7x?

• (0, 7)

• (0, 12)

• (0, 4)

• (0, -4)