Slope Intercept Form in Context

The equation y=0.75x+2 models the relationship between the number of hours studied (x) and the test score (y). What is the slope and what does it represent in this context?

• 0.75; the increase in test score per hour studied

• 0.75; the initial test score

• 2; the increase in test score per hour studied

• 2; the maximum test score

What is the slope (m) of the line represented by the equation y=4x−7?

• 4

• 7

• -4

• -7

What is the y-intercept (b) of the line represented by the equation y=−2x+5?

• -2

• -5

• 2

• 5

Which of the following equations represents a line with a slope of 3 and a y-intercept of -4?

• y=-3x-4

• y=3x-4

• y=3x+4

• y=-3x+4

If the equation y=2x+6 represents the cost of renting a bike where y is the total cost and x is the number of hours, what does the y-intercept represent in this context?

• The cost per hour to rent the bike

• The total cost for 2 hours

• The initial rental fee

• The total cost for 6 hours

What is the equation of a line with a slope of -1 and passing through the point (0, 3)?

• y=-x+3

• y=-x-3

• y=x+3

• y=-3x+1

Which of the following best describes the graph of the equation y=−4x+1?

• A line that rises with a y-intercept at 1

• A line that falls with a y-intercept at -4

• A line that falls with a y-intercept at 1

• A line that rises with a y-intercept at -1

What is the meaning of the y-intercept?

• The hamburger will cost $1.90 without any toppings.

• The hamburger will cost $1.40 without any toppings. 

• The cost of the hamburger is $1.90 with one topping

• The cost of the hamburger doesn't change no matter how many toppings there are.

Write the equation of the line in slope-intercept form.

• y = -5/7x - 2.5

• y = 7/5x - 2.5

• y = -7/5x - 2.5

• y = 5/7x - 2.5

Write the equation for the line in slope-intercept form.

• y= -1x+3

• y= 4x+3

• y=1/4x+3

• y= -4x+3