Proportional Graphs
Grade 7 · Math · Proportional Relationships · Pennsylvania, USA
Lesson Summary
Learn to recognize proportional relationships on a graph and find the constant of proportionality from the line.
Explanation
A proportional relationship always makes a straight line that passes through the origin (0, 0) on a coordinate graph. The steepness of the line tells you the constant of proportionality. You can find k by choosing any point on the line and dividing the y-value by the x-value. If the line does not go through the origin, the relationship is not proportional, even if it is straight.
Practice Questions
Q1: A graph of a proportional relationship passes through (4, 12). What is the constant of proportionality?
Answer: k = 12 ÷ 4 = 3.
Q2: Does a straight line that passes through (0, 5) and (2, 11) represent a proportional relationship? Why or why not?
Answer: No. A proportional graph must pass through (0, 0). This line passes through (0, 5), so it is not proportional.
Q3: On a graph showing distance vs. time, the line goes through (0, 0) and (3, 21). Write the equation.
Answer: k = 21 ÷ 3 = 7, so the equation is d = 7t (distance equals 7 times time).
People Also Ask
What is Proportional Graphs in Grade 7 Math?+
Proportional Graphs is a lesson in the Proportional Relationships chapter of Grade 7 Math. It is part of the Pennsylvania, USA school curriculum and covers key concepts that students need to understand at this level.
What grade level covers Proportional Graphs?+
Proportional Graphs is taught in Grade 7 as part of the Math curriculum in Pennsylvania, USA.
How can I help my child with Proportional Relationships in Math?+
Start with the lesson summary and explanation on this page. Practice the questions provided, then use TutorTom for personalized, step-by-step help with Proportional Relationships topics.