8th grade Ch 3 L4

Liam is reading a 254-page book for school. He can read 40 pages in one hour. The equation for the number of pages he has left to read is y = 254 - 40x, where x is the number of hours he reads. a. State the slope and the y-intercept of the graph of the equation.

• Slope: -40, y-intercept: 254

• Slope: 40, y-intercept: 0

• Slope: 254, y-intercept: -40

• Slope: 0, y-intercept: 40

Liam is reading a 254-page book for school. He can read 40 pages in one hour. The equation for the number of pages he has left to read is y = 254 - 40x, where x is the number of hours he reads. b. Graph the equation.

• Plot the y-intercept at (0, 254) and use the slope -40 to plot the next point at (1, 214). Draw a line through the points.

• Plot the y-intercept at (0, 40) and use the slope 254 to plot the next point at (1, 294). Draw a line through the points.

• Plot the y-intercept at (0, 0) and use the slope 40 to plot the next point at (1, 40). Draw a line through the points.

• Plot the y-intercept at (0, 254) and use the slope 40 to plot the next point at (1, 294). Draw a line through the points.

Liam is reading a 254-page book for school. He can read 40 pages in one hour. The equation for the number of pages he has left to read is y = 254 - 40x, where x is the number of hours he reads. c. Interpret what the slope and the y-intercept represent.

• The slope (-40) represents the number of pages read per hour. The y-intercept (254) represents the total number of pages at the start.

• The slope (-40) represents the total number of pages at the start. The y-intercept (254) represents the number of pages read per hour.

• The slope (254) represents the number of pages read per hour. The y-intercept (-40) represents the total number of pages at the start.

• The slope (40) represents the number of hours read per page. The y-intercept (254) represents the number of hours needed to finish the book.

Write an equation in slope-intercept form for the graph shown.

• y = (8/3)x - 6

• y = (3/8)x - 6

• y = (8/3)x + 6

• y = -(8/3)x - 6

How does the y-intercept appear in these three representations: table, equation, and graph?

• In a table, the y-intercept is the value of y when x = 0. In an equation, it is the constant term. In a graph, it is the point where the line crosses the y-axis.

• In a table, the y-intercept is the value of x when y = 0. In an equation, it is the coefficient of x. In a graph, it is the point where the line crosses the x-axis.

• In a table, the y-intercept is the largest value of y. In an equation, it is the variable term. In a graph, it is the highest point on the line.

• In a table, the y-intercept is the average of all y values. In an equation, it is the sum of all coefficients. In a graph, it is the midpoint of the line.

State the slope and the y-intercept for the graph of each equation. 1. y = 3x + 4

• Slope: 3, y-intercept: 4

• Slope: 4, y-intercept: 3

• Slope: -3, y-intercept: 4

• Slope: 3, y-intercept: -4

State the slope and the y-intercept for the graph of each equation. 2. y = (3/7)x - 1/7

• Slope: 3/7, y-intercept: -1/7

• Slope: -3/7, y-intercept: 1/7

• Slope: 7/3, y-intercept: -1/7

• Slope: 3/7, y-intercept: 1/7

State the slope and the y-intercept for the graph of each equation. 3. 3x + y = -4

• Slope: -3, y-intercept: -4

• Slope: 3, y-intercept: 4

• Slope: 4, y-intercept: 3

• Slope: -4, y-intercept: -3

Write an equation of a line in slope-intercept form with the given slope and y-intercept. 4. slope: -3/4, y-intercept: -2

• y = -3/4x - 2

• y = 3/4x - 2

• y = -3/4x + 2

• y = 3/4x + 2

Write an equation of a line in slope-intercept form with the given slope and y-intercept. 5. slope: 5/6, y-intercept: 8

• y = 5/6x + 8

• y = 6/5x + 8

• y = 5/6x - 8

• y = 8x + 5/6