Final Exam Review - Algebraic Reasoning

Which of the following is the graph of the line 2x - y = 4?

• A line passing through (0, -4) and (2, 0)

• A line passing through (0, 4) and (2, 0)

• A line passing through (0, -2) and (-2, 0)

• A line passing through (0, 2) and (2, 0)

Which of the following is the graph of the line y = -2/5x - 4?

• A line with a slope of -2/5 and y-intercept at -4

• A line with a slope of 2/5 and y-intercept at 4

• A line with a slope of 5/2 and y-intercept at -4

• A line with a slope of -5/2 and y-intercept at 4

Priya is designing a ramp for a skateboard park. The equation of the line representing the ramp is 8x + y = -6. What is the slope-intercept form of this equation?

• y = -8x - 6

• y = 8x - 6

• y = -8x + 6

• y = 8x + 6

What is the graph of the line -y = 0?

• A horizontal line through the origin

• A vertical line through the origin

• A diagonal line with a positive slope

• A diagonal line with a negative slope

Solve each system by graphing. 5) y = -1, 3x + 2y = -8

• x = -2, y = -1

• x = 0, y = -1

• x = 1, y = -1

• x = -1, y = -1

Solve each system by graphing. 6) 5x - 2y = -2, x - 2y = 6

• (2, -2)

• (0, 3)

• (4, -1)

• (1, 2)

Solve each system by graphing. 7) y = (1/3)x - 2, y = (1/3)x + 3

• The lines intersect at (0, -2)

• The lines intersect at (0, 3)

• The lines are parallel and do not intersect

• The lines are the same

Solve each system by graphing. 8) y = (-2/3)x - 1, y = -2x + 3

• (-3, 1)

• (0, -1)

• (3, -3)

• (1, -2)

Write the slope-intercept form of the equation of each line. 9) [Graph Image]

• The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

• The slope-intercept form of a line is given by the equation y = bx + m, where b is the slope and m is the y-intercept.

• The slope-intercept form of a line is given by the equation x = my + b, where m is the slope and b is the y-intercept.

• The slope-intercept form of a line is given by the equation y = b + mx, where b is the slope and m is the y-intercept.

Write the slope-intercept form of the equation of each line. 10) [Graph Image]

• The slope-intercept form of the equation of a line is given by y = mx + b, where m is the slope and b is the y-intercept.

• The slope-intercept form of the equation of a line is given by y = b + mx, where m is the slope and b is the y-intercept.

• The slope-intercept form of the equation of a line is given by y = x + mb, where m is the slope and b is the y-intercept.

• The slope-intercept form of the equation of a line is given by y = m + bx, where m is the slope and b is the y-intercept.