Meaning of Points on Linear Graph

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What is the meaning of the y-intercept of the graph?

• The number of payments for the debt is 2000.

• At the start the debt is 2000 before making any payments.

• The number of payments for the debt is between 12 to 14.

• Initially, the number of payments is 12 to 14.

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) 

The height of water in a bucket can be tracked with the equation \(y=2x+5\) where \(y\) is the height of the water in cm and \(x \)is the number of seconds that have gone by. What does the point (4, 13) represent?

• After 4 seconds, the water height is 13 cm. 

• After 13 seconds, the water height is 4 cm. 

• The water height is between 4 and 13 cm. 

• This point would not exist on the graph. 

The height of water filling up a bucket per x second can be measured with the equation H\left(x\right)=2x+5 What does H(4)=13 represent?

• After 4 seconds, the water height is 13 cm. 

• After 13 seconds, the water height is 4 cm. 

• The water height is between 4 and 13 cm. 

• This point would not exist on the graph. 

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Interpret the point (12, 100)

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The height of water in a bucket after x seconds has passed can be tracked with the equation f\left(x\right)=2x+5 What does f(4)= 13 represent?

• After 4 seconds, the water height is 13 cm. 

• After 13 seconds, the water height is 4 cm. 

• The water height is between 4 and 13 cm. 

• This point would not exist on the graph. 

The height of water in a bucket can be tracked with the equation \(y=2x+5\) where \(y\) is the height of the water in cm and \(x \)is the number of seconds that have gone by. What does the point (4, 13) represent?

• After 4 seconds, the water height is 13 cm. 

• After 13 seconds, the water height is 4 cm. 

• The water height is between 4 and 13 cm. 

• This point would not exist on the graph.