# Lesson 10

Meet Slope

### Problem 1

Of the three lines in the graph, one has slope 1, one has slope 2, and one has slope $$\frac{1}{5}.$$ Label each line with its slope.

### Problem 2

Draw three lines with slope 2, and three lines with slope $$\frac 1 3$$. What do you notice?

### Problem 3

The figure shows two right triangles, each with its longest side on the same line.

1. Explain how you know the two triangles are similar.
2. How long is $$XY$$?
3. For each triangle, calculate (vertical side) $$\div$$ (horizontal side).
4. What is the slope of the line? Explain how you know.

### Problem 4

Triangle $$A$$ has side lengths 3, 4, and 5. Triangle $$B$$ has side lengths 6, 7, and 8.

1. Explain how you know that Triangle $$B$$ is not similar to Triangle $$A$$.

2. Give possible side lengths for Triangle $$B$$ so that it is similar to Triangle $$A$$.