Linear Functions 1.3: Slope
Student Name:
Comparing Linear Equations-Differences in Slope
The slope of a linear equation determines 2 characteristics of the line:
the magnitude of the slant of the line
the direction of the slant of the line
Magnitude of the Slope
Compare the following linear equations:
Problem 1:
Describe the difference you see between the first equation and the second equation.
Describe the differences you see between the first graph and the second graph.
Problem 1 Answers:
Direction of the Slope
Compare the following linear equations:
Problem 2:
Describe the difference you see between the first equation and the second equation.
Describe the differences you see between the first graph and the second graph.
Problem 2 Answers:
Practice Problems-Differences in Slope
Problem 3: In the following problem, the first graph shows the line y = x + 2. Change the equation for the second graph so that the new equation has a larger slope than .
Problem 4: In the following problem, the first graph shows the line y = x + 2. Change the equation for the second graph so that the new equation has a smaller slope than 3.
Problem 5: In the following problem, the first graph shows the line y = x - 1. Change the equation for the second graph so that the new equation has a negative 2 slope.
Problem 6: In the following problem, the first graph shows the line y = -4x + 2. Change the equation for the second graph so that the new equation has a positive 4 slope.