MathGrade 7-9
Linear Functions Answer Key
Explore linear functions by changing slope and y-intercept and observing effects on graphs.
Prior Knowledge Questions
Q1.What is the slope-intercept form of a linear equation?
Answer
y = mx + b, where m is the slope and b is the y-intercept.
Q2.What does the slope of a line represent?
Answer
Slope represents the rate of change — how much y changes for every 1 unit increase in x (rise over run).
Q3.What is the y-intercept?
Answer
The y-intercept is the point where the line crosses the y-axis (when x = 0).
Activity A – Slope and Intercept
Q1.What happens to the graph when you increase the slope?
Answer
Increasing the slope makes the line steeper.
Q2.What happens to the graph when you change the y-intercept?
Answer
Changing the y-intercept shifts the line up or down without changing its steepness.
Related Gizmos
More Math gizmos coming soon.