Slope and Similar Triangles and Proportionality

Describe the slope of the line.

• negative slope

• slope 0

• positive slope

• undefined slope

Which of the following graphs represents a proportional relationship?

• A line that passes through the origin

• A line with a y-intercept of 2

• A parabola

• A horizontal line

• True

• False

True or False: The slope of a line is different between two distinct points on a vertical line.

• True

• False

If two triangles are similar, how does that relate to their slopes?

• The slopes of corresponding sides are unrelated.

• The slopes of corresponding sides of similar triangles are proportional.

• The slopes of corresponding sides are always equal.

• The slopes of similar triangles are always negative.

How can you use similar triangles to find the slope of a line?

• The slope can be calculated using the area of the triangle formed by the line.

• The slope of a line can be found using the formula m = (y2 - y1) / (x2 - x1) based on the rise over run from similar triangles.

• You can find the slope by measuring the angles of the triangles.

• The slope is determined by the length of the hypotenuse of the triangle.

What is the definition of a proportional relationship?

• A relationship defined by a variable that changes independently of the other.

• A relationship where one quantity increases while the other decreases.

• A relationship that has no correlation between the two quantities.

• A relationship where the ratio between two quantities is constant.

How do you calculate the slope of a line given two points?

• slope = (y2 - y1) / (x2 - x1)

• slope = (y2 * y1) / (x2 * x1)

• slope = (y1 + y2) / (x1 + x2)

• slope = (x2 - x1) / (y2 - y1)

What is the slope of a line that goes through the points (1, 2) and (3, 6)?

• 4

• 1

• 2

• 3

Explain how to determine if two lines are parallel using their slopes.

• Two lines are parallel if they intersect at a right angle.

• Two lines are parallel if their slopes are equal.

• Two lines are parallel if one slope is negative and the other is positive.

• Two lines are parallel if their slopes are different.