Understanding Slope and Proportionality

• 2

• 3

• 5

• 1

Which of the following graphs represents a proportional relationship?

• A line passing through the origin with a slope of 2

• A line with a y-intercept of 3

• A horizontal line

• A vertical line

Fill in the blank: The slope of a line is the same between any two distinct points on a non-vertical line because of _______.

• parallel lines

• similar triangles

• perpendicular lines

• congruent angles

Answer explanation

The slope of a line remains constant between any two points because of similar triangles. The rise over run ratio is the same for all segments of the line, demonstrating that the slope is consistent.

If a line passes through the points (0, 0) and (4, 8), what is the unit rate or slope of the line?

• 1

• 2

• 4

• 8

Which equation represents a line with a slope of 5 and a y-intercept of -3?

• Both have the same steepness

• Cannot be determined

What is the equation of a line that passes through the origin and has a slope of 7?

Fill in the blank: A proportional relationship can be represented by the equation _______.

• The slopes are different

• The slopes are the same

• One slope is double the other

• The slopes are negative reciprocals

Which of the following is a characteristic of a proportional relationship?

• It has a y-intercept other than zero

• It forms a straight line through the origin

• It forms a curve

• It has a slope of zero