Slope-Intercept Form

Carey correctly graphs a linear function. The slope of the function is -1. The y-intercept is 3. Which is Carey's graph?

A

Eric earns a weekly salary and a commission on each item that he sells. The equation y = 10x + 50 represents the amount of money that Eric earns weekly. Bailey earns a greater weekly salary than Eric but the same commission rate. Which graph could represent the amount of money that Bailey earns weekly, y, based on the number of items sold, x?

A

Samantha's parents give her $10 per week. For each chore that she does not complete, she must repay her parents $1. Which graph models Samantha's allowance?

A

The equation y=-1/20x+10 represents the gallons of gasoline that remain in Michelle's car after she drives x miles. Which graph represents this equation?

A

What is the equation of a line through the points (0, 9) and (3, 0)?

A

A sand dune stands 5 feet above sea level. The hill is eroding at a rate of 1 foot per 20 years. Let y represent the height of the sand dune after x years. Which equation represents the situation?

B

What is the slope and the y-intercept of the line on the graph below?

C

Which student graphed a linear function with a y-intercept at -4?

Ellis

Kelsey graphed the equation y = 3x + 1 as shown below.

Kelsey graphed the slope as the y-intercept and the y-intercept as the slope.

The estimated total cost, y, of a child's toy is partially based on the number of batteries used, x. The cost of one battery is $0.75. The toy itself costs $12. Which equation represents the situation?

y = 0.75x + 12

Adriana writes the equation y = 2x + 4 to represent a line on a graph. Henry writes an equation that has a y-intercept that is 1 unit lower on the graph but has the same slope as Adriana's line. Which is Henry's equation?

y = 2x + 3

Which linear equation has a slope of 3 and a y-intercept of -2?

y = 3x - 2

The slope of a line is 2. The y-intercept of the line is -6. Which statements accurately describe how to graph the function?

Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.

Which is the graph of the linear function that is represented by the equation y=1/2x-2?

c