Practice Proportional Line in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A straight line that passes through the origin, representing a proportional relationship of the form with constant ratio .
When , . The line passes through the origin—no head start.
Showing a random 20 of 50 problems.
Example 1
hardA graph shows a line passing through , , and a third point . Find .
Example 2
hardOn a proportional line, the point and the point both lie on the line. Find .
Example 3
mediumIs the table proportional?
Example 4
easyIf , find when .
Example 5
hardGraph . Identify a third lattice point on the line besides and .
Example 6
easyA proportional line passes through . Find .
Example 7
mediumThree of the points lie on the same proportional line: . Which one does NOT?
Example 8
challengeA line is proportional and also passes through . A student claims it also passes through . Verify and correct.
Example 9
easyWhat is the -intercept of any proportional line ?
Example 10
easyWrite the equation of a proportional line with constant 6.
Example 11
mediumWhat is the slope of the proportional line ?
Example 12
mediumA car travels at a constant km/hr. Write as a proportional function of and find when hr.
Example 13
mediumIs a proportional line? If yes, give .
Example 14
mediumThe graph of passes through . Find and then at .
Example 15
hardIs a proportional relationship between and ?
Example 16
mediumA recipe uses 2 cups of flour per 3 cookies. Write the proportional model and find flour for 12 cookies.
Example 17
hardThe cost to print flyers is proportional to the number printed. flyers cost $30. Write and find the cost of flyers.
Example 18
easyDoes the line pass through the origin?
Example 19
easyIf , find when .
Example 20
mediumA proportional graph passes through . What is when ?