Graphing Lines with Table

Graph the relation y = -2x + 3 for integer values of x from 0 to 4.

You know this is an equation of a linear function, so the dots you graph will be in a straight line. However, you are not asked to draw the whole line, just put a dot on the graph for each input/output combination. So, if x = 0, find y and plot that point. If x = 1, find y and plot that point, and so on. Which graph matches your results?

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Describe the relationship between the input (x) and output (y) values in this graph.

• When x increases by 1, y increases by 7.

• When x increases by 1, y increases by 5.

• When x increases by 1, y increases by 2.

• When x increases by 2, y decreases by 5.

Describe the relationship between the input (x) and output (y) values in this graph.

• When x increases by 1, y decreases by 12.

• When x increases by 1, y decreases by 2.

• When x increases by 1, y increases by 2.

• When x increases by 2, y increases by 12.

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The data in this table represents a linear function.

Find the rate of change (slope, rise over run, change in y over change in x) of the data.

The data in this table represents a linear function.

Describe the meaning of the rate of change (slope, rise over run, change in y over change in x) of the data.

• -2 minutes per gallon

• -20 minutes per gallon

• -2 gallons per minute

• -20 gallons per minute

The table shows solutions to the function represented by the equation Find the missing output value.

• -19

• 17

• 19

• 17

The data in the table represents a linear function. Which equation models the relationship?

Which statement about the linear function graphed on the right is true?

• The rate of change is $60 an hour.

• The number of hours is a function of the cost.

• When the input is 60, the output is 6.

• The cost depends on the number of hours the business is operated.

Which statement about the data in the graph on the left is correct?

• The weight of the pecans depends on the cost.

• The cost of pecans is a function of the weight of the pecans.

• There is no relationship.

• Pecans cost $2 per pound.

Answer explanation

be careful to put the number mentioned first as the numerator of the fraction and the number mentioned second as the denominator