8th grade Ch 3 L5

Graph the equation y = 3x - 9 on the provided grid.

• The line should pass through the y-intercept at (0, -9) and have a slope of 3 (rise 3, run 1).

• The line should pass through the y-intercept at (0, 9) and have a slope of -3 (fall 3, run 1).

• The line should pass through the y-intercept at (0, -3) and have a slope of 9 (rise 9, run 1).

• The line should pass through the y-intercept at (0, 3) and have a slope of -9 (fall 9, run 1).

Graph the equation y = (1/2)x + 2 on the provided grid.

• The line should pass through the y-intercept at (0, 2) and have a slope of 1/2 (rise 1, run 2).

• The line should pass through the y-intercept at (0, -2) and have a slope of 2 (rise 2, run 1).

• The line should pass through the y-intercept at (0, 2) and have a slope of -1/2 (fall 1, run 2).

• The line should pass through the y-intercept at (0, -2) and have a slope of -1/2 (fall 1, run 2).

A store sells juice boxes in packages of 6 boxes and 8 boxes. They have 288 total juice boxes. This is represented by the function 6x + 8y = 288. Use the x- and y-intercepts to graph the equation. Then interpret the x- and y-intercepts.

• x-intercept: (48, 0), y-intercept: (0, 36). The x-intercept means 48 packages of 6 boxes and 0 packages of 8 boxes. The y-intercept means 0 packages of 6 boxes and 36 packages of 8 boxes.

• x-intercept: (36, 0), y-intercept: (0, 48). The x-intercept means 36 packages of 6 boxes and 0 packages of 8 boxes. The y-intercept means 0 packages of 6 boxes and 48 packages of 8 boxes.

• x-intercept: (24, 0), y-intercept: (0, 12). The x-intercept means 24 packages of 6 boxes and 0 packages of 8 boxes. The y-intercept means 0 packages of 6 boxes and 12 packages of 8 boxes.

• x-intercept: (12, 0), y-intercept: (0, 24). The x-intercept means 12 packages of 6 boxes and 0 packages of 8 boxes. The y-intercept means 0 packages of 6 boxes and 24 packages of 8 boxes.

The x-intercept and y-intercept can be used to graph a linear equation by:

• Plotting both intercepts and drawing a line through them

• Finding the midpoint between the intercepts

• Using only the x-intercept to draw the line

• Ignoring the intercepts and plotting random points

State the x- and y-intercepts of the equation y = -2x + 7. Then use the intercepts to graph the equation.

• x-intercept: (3.5, 0); y-intercept: (0, 7)

• x-intercept: (0, 3.5); y-intercept: (7, 0)

• x-intercept: (7, 0); y-intercept: (0, -2)

• x-intercept: (0, -2); y-intercept: (3.5, 0)

State the x- and y-intercepts of the equation y = (3/4)x + 3. Then use the intercepts to graph the equation.

• x-intercept: (-4, 0); y-intercept: (0, 3)

• x-intercept: (4, 0); y-intercept: (0, -3)

• x-intercept: (0, 4); y-intercept: (3, 0)

• x-intercept: (3, 0); y-intercept: (0, 4)

State the x- and y-intercepts of the equation 12x + 9y = 15. Then use the intercepts to graph the equation.

• x-intercept: (5/4, 0); y-intercept: (0, 5/3)

• x-intercept: (4/5, 0); y-intercept: (0, 3/5)

• x-intercept: (3/5, 0); y-intercept: (0, 4/5)

• x-intercept: (5/3, 0); y-intercept: (0, 4/3)

• x-intercept: (120, 0); y-intercept: (0, 90). Interpretation: If only jeans are bought, 120 pairs can be shipped. If only khakis are bought, 90 pairs can be shipped.

• x-intercept: (90, 0); y-intercept: (0, 120). Interpretation: If only jeans are bought, 90 pairs can be shipped. If only khakis are bought, 120 pairs can be shipped.

• x-intercept: (100, 0); y-intercept: (0, 80). Interpretation: If only jeans are bought, 100 pairs can be shipped. If only khakis are bought, 80 pairs can be shipped.

• x-intercept: (60, 0); y-intercept: (0, 60). Interpretation: If only jeans are bought, 60 pairs can be shipped. If only khakis are bought, 60 pairs can be shipped.

The total number of legs, 1,500, on four-legged and two-legged animals in a zoo can be represented by the equation 4x + 2y = 1,500. Use the x- and y-intercepts to graph the equation. Then interpret the x- and y-intercepts.

• x-intercept: (375, 0); y-intercept: (0, 750). Interpretation: If only four-legged animals, there are 375. If only two-legged animals, there are 750.

• x-intercept: (750, 0); y-intercept: (0, 375). Interpretation: If only four-legged animals, there are 750. If only two-legged animals, there are 375.

• x-intercept: (500, 0); y-intercept: (0, 1000). Interpretation: If only four-legged animals, there are 500. If only two-legged animals, there are 1000.

• x-intercept: (250, 0); y-intercept: (0, 600). Interpretation: If only four-legged animals, there are 250. If only two-legged animals, there are 600.

The table shows the group rate for admission tickets for adults and children to an amusement park. Write an equation to represent the number of adults’ and children’s tickets purchased.

• 45x + 30y = 1350

• 30x + 45y = 1350

• 45x + 30y = 1500

• 30x + 45y = 1500