Intercepts
Find the x-intercept of -0.5x + 2y = 4.
What is x = -8
Write the formula for slope.
What is m = (y2 - y1) / (x2 - x1)
Tell whether the equation represents direct variation. If so, identify the constant of variation.
x - y = 3
What is not direct variation
Rewrite 4x - y = 3 in slope-intercept form.
What is y = 4x - 3
Evaluate the function: g (x) = 2x - 3 when x = 7
What is 11
Find the y-intercept of -0.5x + 2y = 4.
What is y = 2
What is the slope of a horizontal line?
What is 0
Tell whether the equation represents direct variation. If so, identify the constant of variation.
x + 2y = 0
What is direct variation; -1/2
Rewrite 3x - 6y = 9 in slope-intercept form.
What is y = (1/2)x - (3/2)
Evaluate the function: h (x) = -(1/2)x - 7 when x = -6
What is -4
Find the x-intercept of -x + 5y = 15.
What is x = -15
Find the slope of a line that passes through the points (-1, 11) and (2, 10).
What is -1/3
Tell whether the equation represents direct variation. If so, identify the constant of variation.
8x - 2y = 0
What is direct variation; 4
Rewrite -3x + 4y - 12 = 0 in slope-intercept form.
What is y = (3/4)x + 3
Mount Everest is rising at a rate of 2.4 inches per year. The number of inches that Mount Everest rises in x years is given by the function f (x) = 2.4x. Identify its domain and range.
What is domain: x is greater than or equal to 0, range: f (x) is greater than or equal to 0
Find the y-intercept of -x + 5y = 15.
What is y = 3
Find the slope of a line that passes through the points (-2, 0) and (4, 9).
What is 3/2
The amount s (in inches) of snow that fell during a snowstorm varied directly with the duration d (in hours) of the storm. In the first 2 hours of the storm 5 inches of snow fell. Write a direct variation equation that relates d and s.
What is s = (5/2)d
One athlete can run a 60 meter race at an average rate of 7 meters per second. A second athlete can run the race at an average rate of 6 meters per second. The distance d (in meters) the athletes have left to run after t seconds is given by the following equations:
Athlete 1: d = -7t + 60
Athlete 2: d = -6t + 60
What are the coordinates of the intercepts?
What is (0, 60), (0, 60), (10, 0), (8.6, 0)
Mount Everest is rising at a rate of 2.4 inches per year. The number of inches that Mount Everest rises in x years is given by the function f (x) = 2.4x. Find the value of x so that f (x) = 250.
What is about 104
Find the coordinates of the intercepts of 2x - 6y = 18.
What are (0, -3) and (9, 0)
Find the slope of a line that passes through the points (-5, 4) and (1, -8).
What is -2
The amount s (in inches) of snow that fell during a snowstorm varied directly with the duration d (in hours) of the storm. In the first 2 hours of the storm 5 inches of snow fell. How many inches of snow fell in 6 hours?
What is 15 inches
One athlete can run a 60 meter race at an average rate of 7 meters per second. A second athlete can run the race at an average rate of 6 meters per second. The distance d (in meters) the athletes have left to run after t seconds is given by the following equations:
Athlete 1: d = -7t + 60
Athlete 2: d = -6t + 60
About how many seconds faster does the first athlete finish the race than the second athlete?
What is about 1.4 seconds
Mount Everest is rising at a rate of 2.4 inches per year. The number of inches that Mount Everest rises in x years is given by the function f (x) = 2.4x. What does the value of x so that f (x) = 250 mean in this situation?
What is Mount Everest will have grown 250 inches in 104 years.