Find Slope with Triangles

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

Find the slope of the given graph.

• 2/3

• -2/3

• 3/2

• -3/2

Find the slope of the line.

• 1/2

• -1/2

• 2

• -2

Find the slope:

• 3/4

• 4/3

• -3/4

• -4/3

What formula could you use to find the slope of these two points?

• none of the above

Triangle PQR and RST are similar right triangles. Which proportion can be used to show that the slope of line PR is equal to the slope of line RT?

• The slope of line XZ is the negative reciprocal of the slope of line CA because the triangles are flipped.

• The slope of line XZ is the same as the slope of line CA because the ratios of the corresponding sides of the triangles are equivalent.

• The is no relationship between the slope of line XZ and the slope of line CA.

Which proportion could be used to show the slope of line VX is equal to the slope of line XZ?