PSST 3 REVIEW

Slopes

100

The slope of a line can be described as the ____ change over the ____ change.

The slope of a line can be described as the y axis (vertical) change over the x axis (horizontal) change.

200

Given the following slopes, should their lines be perpendicular, parallel, or neither? Why?

1. -2/3 and -6/9

2. 4/2 and -2/4

Given the following slopes, should their lines be perpendicular, parallel, or neither?

1. -2/3 and -6/9 = -2/3, PARALLEL (SAME SLOPE)

2. 2 = 2/1 and -5/10 = -1/2, PERPENDICULAR (NEGATIVE RECIPROCALS)

300

Find the slope of the line that passes through the given points:

C(-7, -1) and D(9, -13)

(-13-(-1))/(9-(-7))=(-13+1)/(9+7)

-12/16 = -3/4

400

A zip line is a taut rope or cable that you can ride down on a pulley. The zip line pictured below goes from a 10-ft tower to a 4-ft tower. The towers are 12 feet apart. What is the slope of the zip line?

A zip line is a taut rope or cable that you can ride down on a pulley. The zip line pictured below goes from a 10-ft tower to a 4-ft tower. The towers are 12 feet apart. What is the slope of the zip line?

The point of the top of the first tower is (10, 0) and the top of the second is (4, 12)

(10-4)/(0-12)=6/-12=1/-2

Equation

100

The following steps are given to write an equation of a line using: point (-3, -5) and slope, m, (2/5). Which step is incorrect and what should the step be instead?

1. y-(-5)= (2/5)(x-3)

2. y+5=(2/5)x-(6/5)

3. y=(2/5)x-(31/5)

The following steps are given to write an equation of a line: point (-3, -5) and slope, m (2/5). Which step is incorrect and what should the step be instead?

1. y-(-5)= (2/5)(x-(-3))

200

Write the equation of the line with a slope of (5/2) through point (-2, 1).

Write the equation of the line with a slope of (5/2) through point (-2, 1).

y-y_1=m(x-x_1)

y-1=(5/2)(x-(-2))

y-1=(5/2)(x + 2)

y-1=(5/2)x+(5/2)2

y-1=(5/2)x+10/2

y-1=(5/2)x+5

y=(5/2)x+6

300

Write the equation of the line that is perpendicular to the line y = (4/7)x + 1 and passes through the point (5, 2).

Write the equation of the line that is perpendicular to the line y = (-4/7)x + 1 and passes through the point (5, 2).

y-y_1=m(x-x_1)

y-2=(7/4)(x-5)

y-2=(7/4)x-(7/4)(5)

y-2=(7/4)x-(35/4)

y=(7/4)x-(35/4)+2

y=(7/4)x-35/4+(2(4))/(1(4))

y=(7/4)x-35/4+8/4

y=(7/4)x-27/4

Mr. Almonte

100

How many sets of earrings has Mr. Almonte worn to school?

Only 2, studs and hoops :)

200

Name at least one of Mr. Almonte's top 3 foods. Hint one is Asian, one is Mediterranean, and the other is American.

Sushi, Pasta, and Burgers :)

300

What year did Mr. Almonte start teaching at Tiyan?

School Year 2020-2021 :)