Interpreting Slope/Y-Intercept Review

What is the y-intercept?
y=4x+2

• 2
• 4
• y
• 4x

What is the slope?
y=-3x+5

• -3
• 3
• -3x
• 5

What is the y-intercept?
y=4x

• 4
• 0
• -4
• 4x

The equation y = 3x + 8 models the amount of snow in inches(y) after x hours.

Interpret the y-intercept

• 8 inches of snow falls in 3 hours.

• 3 inches of snow falls in 8 hours.

• When we started measuring, there were already 8 inches of snow on the ground.

• Every hour, 3 new inches of snow accumulates.

The equation y = 3x + 8 models the amount of snow in inches(y) after x hours.

Interpret the slope,

• 8 inches of snow falls in 3 hours.

• 3 inches of snow falls in 8 hours.

• When we started measuring, there were already 8 inches of snow on the ground.

• Every hour, 3 new inches of snow accumulates.

Janice is saving money for retirement. The equation y = 500x + 12,000 models her retirement savings where y is the total she has saved in dollars, and x is the number of months.

Interpret the y-intercept.

• Janice started with $500 in her account

• Janice started with $12,000 in her account

• Each month, Janice saves an additional $500

• Each month, Janice saves an additional $12,000

Janice is saving money for retirement. The equation y = 500x + 12,000 models her retirement savings where y is the total she has saved in dollars, and x is the number of months.

Interpret the slope.

• Janice saves $12,000 every 500 months

• Janice saves $500 every 12,000 months

• Each month, Janice saves an additional $500

• Each month, Janice saves an additional $12,000

Match

a

b

y-int

slope

The graph represents the height of a burning candle.  What is the meaning of the y-intercept?

• the time it takes to burn the entire candle
• the rate at which the candle is losing height
• the change in the height of the candle each hour
• the original height of the candle

What line has the steepest slope?

• All slopes are equal
• Red
• Blue
• Green