Huether's Algebra 1 Chapter 5 Review

Parallel & Perpendicular lines

100

What is the negative reciprocal of -1/5

5

200

Determine whether the graphs of each pair of equations are parallel, perpendicular, or neither.

x - 5y = -5

5x - y = -6

neither

300

Use the point slope form to write the slope intercept form of the equation of the line perpendicular to the given line and passing through the given point.

x + y = 8

(0,4)

y = x + 4

400

The equation of line Q is y = −2x + 3.

State the slope of a line parallel to Q 

State the slope of a line perpendicular to Q

parallel m= -2

perpendicular m= 1/2

500

Use the point slope form to write the slope intercept form of the equation of the line parallel to the given line and passing through the given point.

4x + y = 9

(-2,5)

y = -4x -3

Slope

100

What is the slope formula?

rise/run 

y_{2 -} y₁/x₂ - x₁

200

What is the slope of a horizontal line? 

What is the slope of a vertical line?

m = 0

m = undefined

300

Find the slope of the line passing through (-1, 7) and (-1, 2)

m = undefined

400

Find the slope of the line passing through (−2, 17) and (14, −15)

m = -2

500

Write the equation of the line passing through (3, 4) and (3,-2).

x = 3

m = undefined

Slope-Intercept Form

100

What is the slope-intercept equation?

y = mx + b

200

Write the slope-intercept form of the equation of the line passing through (3, −2) with a slope of −3.

 

y = -3x + 7

300

Write the equation of the line with a slope of −7 and a y-intercept of (0, 2).

y = -7x + 2

400

State the slope and y-intercept of 3x + 2y = 8.

y = -3/2x +4

m = -3/2 

b = 4 or (0,4)

500

Write the equation in slope-intercept form and state the slope and y-intercept.

8x - 3y = 9

y = 8/3x - 3

m = 8/3

b = -3 or (0,-3)

Standard Form

100

What is the standard form equation?

Ax + By = C

200

Find the x and y intercepts of this linear equation

x - 2y = 4

x-int = (4, 0)

y-int = (0, -2)

300

Write y = -2/3x + 5 in standard form.

2x +3y = 15

400

Find the x and y intercepts of this linear equation.

y = -3

x-int = none

y-int = (0,-3)

500

Find the x- and y-intercepts of the linear equation 

4x − 3y = 24.

x-int = (6,0)

y-int = (0,-8)

Miscellaneous

100

Which animal is the mascot for the Hufflepuff house in Harry Potter?

Badger

200

What was the first brand of bubble gum to be sold?

Dubble Bubble

300

What is the only letter that does not appear in any name of a US state?

Q

400

What is the only sport that has been played on the moon?

golf

500

What was the first toy advertised on tv?

Mr. Potato head