Identify the Slope on Line

Triangle HJK and triangle PMK are similar right triangles. The coordinates of all the verticces are integers. Which statement is true about the slope of line HK and the slope of line PK.

• The slope of line HK is less than the slope of line PK because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is less for line HK than it is for line PK.

• The slope of line HK is equal to the slope of line PK because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is the same for line HK as it is for line PK.

• The slope of line HK is greater than the slope of line PK because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is greater for line HK than it is for line PK.

• The relationship between the slope of line HK and the slope of line PK cannot be determined because the traingles are congruent.

What is the slope of the line graphed below? Simplify your answer. Be careful of the scale on the y-axis!

• 30/3 = 10/1 = 10

• 3/30 = 1/10

• 3/3 = 1

Which of the following is true about the triangles shown on the graph?

• The slope of the smaller triangle is smaller than the slope of the larger triangle.

• The slope of the larger triangle is larger than the slope of the smaller triangle.

• The triangles are congruent. Congruent: same size, same shape.

• The slopes of the two triangles are the same.

Explain whether or not the triangles shown could lie on the same line.

• Yes, because their slopes both simplify to -6.

• Yes, because their slopes both simplify to 1/6.

• No, because -72/12 is not the same as -144/24

• A

• B

• C

• D

• A

• B

• C

• D

Find the slope of the line.

• -2

• 2

• -1

• 1

Find the slope:

• 3/4

• 4/3

• -3/4

• -4/3

Identify the type of Slope

• Positive

• Negative

• Zero

• Undefined

Identify the type of Slope

• Positive

• Negative

• Zero

• Undefined