Interpreting Linear Graphs
Grade 12 worksheet on interpreting linear graphs, including slope, intercepts, and real-world applications.
Includes
Standards
Interpreting Linear Graphs
Name:
Date:
Score:
Read each question carefully and provide your answer in the space provided. Show all your work for full credit.
1. What does the slope of a linear graph represent?
The y-intercept
The rate of change
The x-intercept
The starting value
2. A linear equation is given by y = 3x - 2. What is the y-intercept?
3
-2
2
3/2
1. A linear graph represents a relationship where the change in the dependent variable is for each unit change in the independent variable.
2. The point where a linear graph crosses the x-axis is called the .
1. Describe how you would determine the slope of a line from a given graph.
Use the graph below to answer the following questions.
a) What is the slope of the line?
b) What is the y-intercept?
c) Write the equation of the line in slope-intercept form.
1. A horizontal line has an undefined slope.
True
False
2. The equation of a vertical line is always in the form y = mx + b.
True
False
A car's distance from home is modeled by the equation D = 60t + 20, where D is the distance in miles and t is the time in hours. Explain what the slope and y-intercept of this equation represent in the context of the problem.