Graphing Linear Functions Using Intercepts

• A

• B

• C

• D

Answer explanation

The graph of the linear equation 2x + 3y = 6 is a line which meets the x-axis at the point

• (A) (0, 2)

• (B) (2, 0)

• (C) (3, 0)

• (D) (0, 3)

Which equation has a positive y-intercept?

• y= -13 + 7x

• y= 9x - 7

• y= ½x

• y= 8 - x

At a fair, hamburgers sell for $3.00 each and hot dogs sell for $1.50 each. The equation 3x+1.5y=30 describes the number of hamburgers and hot dogs a family can buy with $30.00. Using the graph below find each intercept and what each one represents.
what is the x-intercept?

• (10,0)

• (0, 10)

• (0,20)

• (20,0)

Graph using the x & y intercepts

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Graph

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Graph

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Identify the graph with the x-intercept of -2.5 and the y-intercept of 5.

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What are the x and y intercepts to use when graphing 3x + 4y = -12?

• (0, 4) and (3, 0)

• (0, -4) and (-3, 0)

• (0, -4) and (3, 0)

• (0, 4) and (-3, 0)

At a fair, hamburgers sell for $3.00 each and hot dogs sell for $1.50 each. The equation 3x+1.5y=30 describes the number of hamburgers and hot dogs a family can buy with $30.00. Using the graph below find each intercept and what each one represents.
what does the x-intercept mean?

• the number of hamburgers they can buy if they buy no hot dogs.

• the number of hamburgers they can buy if they buy 20 hot dogs

• the number of hot dogs they can buy if they buy no hamburgers.

• the number of hot dogs they can buy if they buy 10 hamburgers