Writing Linear Equations

Finding Slope

100

What is the slope?

y=-3/4 x+4

m = -3/4

200

What is the slope between the two points?

(3, 5) and (2, 6)

m = -1

300

What is the slope between the two points?

(-3, -3) and (9, 6)

m=3/4

400

What is the slope of the given equation?

2x + 7y = 14

m=-2/7

500

What is the slope of the equation?

3x - y =6

m = 3

Writing Linear Equations

100

Write the equation in slope intercept form with a slope of 5/4 and y-intercept of -5

y=5/4 x -5

200

Write the standard form equation into slope intercept form:

2x+4y = 8

y=-1/2 x +2

300

What is an equation of the line that passes through the points (6,5) and (7,7)?

y=2x−7

400

What is an equation of the line that passes through the points (−4,3) and (4,1)?

y=-1/4 x+2

500

Write an equation that goes through these two points: 

(6, -3) and (3, 1)

y=-4/3 x +5

Standard to Slope Intercept

100

Put the following equation of a line into slope-intercept form, simplifying all fractions.

2x+y=  88

y=-2x+8

200

Put the following equation of a line into slope-intercept form, simplifying all fractions.

2y−6x=10

y=3x+5

300

Put the following equation of a line into slope-intercept form, simplifying all fractions.

20x+12y=72

y= − 5/3  x+6

400

Put the following equation of a line into slope-intercept form, simplifying all fractions.

12y−15x=84

y= 5 /4x + 7 

500

Put the following equation of a line into slope-intercept form, simplifying all fractions. 

9x+6y=−24

y=− 3 /2 x − 4 

Parallel and Perpendicular

100

Fill in the blank:

Parallel lines have _______ slopes.

SAME

200

Fill in the blank:

Perpendicular lines have _______ slopes.

Opposite Reciprocal

300

What is the slope of a line that is perpendicular to the following equation:

y=-3/4x +6

m=4/3

400

What is the equation of a line that is parallel to the following equation and goes through the point 

(4, 1)?

y=1/2x -5

1=1/2(4)+b

1=2 + b

-1=b

y=1/2x -1

500

What is the equation that is perpendicular to the following equation and goes through the point (3,2)?

y=3/2x+4

2=-2/3 (3) +b

2=-2 +b

4=b

y=-2/3x+4

Vertical and Horizontal Equations

100

What does the acronym HOY stand for and what does the acronym VUX Stand for?

HOY- Horizontal, zero slope, y=

VUX- Vertical, undefined slope, x = 

200

Write an equation of a horizontal line

Anything that says y= constant

300

Writ an equation of a vertical line.

Anything that says x=constant

400

Write an equation that has a slope of 0 and goes through the point (17,4)

y = 4

500

Write an equation that has an undefined slope and goes through the points (45,-23)

x = 45