1. Find the value of x.

ANSWER 32

2. Write the converse of the following statement. If it is raining, then Josh needs an umbrella.

ANSWER If Josh needs an umbrella, then it is raining.

Slope of line a: m = – 1=4 – 2

6 – 8 =

2

– 2

Slope of line d: m =4 – 0

6 – 6=

4

0

With a partner discuss some formulas you would use to find the slope of a line(s).

When would you use each way specifically. Ie when you have a graph, equation or ordered pairs.

=– 4 – 1 = 4m1 =

0 – 4

– 3 – (– 2 )

m2

1 – 5

3 – 4= = 4=

– 4 – 1

m3– 2 – 3

5 – 6= =

– 5 – 1 = 5

Find the slope of k3 through (6, 3) and (5, – 2).

3. Line m passes through (–1, 3) and (4, 1). Line t passes through (–2, –1) and (3, – 3). Are the two lines parallel? Explain how you know.

3. What is the slope of a line parallel to the line above?

Because parallel lines have the same slope; a line parallel to the one given above would have a slope of -17.

Line h passes through (3, 0) and (7, 6). Graph the line perpendicular to h that passes through the point (2, 5).

STEP 1

Find the slope m1 of line h through (3, 0) and (7, 6).

=6

4=

3

2m1 =

6 – 0 7 – 3

STEP 2

Find the slope m2 of a line perpendicular to h. Use the fact that the product of the slopes of two perpendicular lines is –1.

m2 =3

2– 1

m2 = – 2 3

Slopes of perpendicular lines

23

Multiply each side by

STEP 3

Use the rise and run to graph the line.

SOLUTION

The rate at which the skydiver descended is represented by the slope of the segments. The segments that have the same slope are a and c.

The correct answer is D.ANSWER

4. Line n passes through (0, 2) and (6, 5). Line m passes through (2, 4) and (4, 0). Is n m? Explain.

ANSWER Yes; the product of their slopes is – 1.

5. In Example 4, which parachute is in the air for the longest time? Explain.

SAMPLE ANSWER

Parachute C. It was in the air approximately 1.25 minutes longer than either a or b.

6. In Example 4, what do the x-intercepts represent in the situation? How can you use this to eliminate one of the choices?

SAMPLE ANSWER

Time of the landing.

b and c are in the air different amounts of time.

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