Linear Equations Review

Slope Intercept Form

100

Write the slope intercept form from the following information. 

Slope =4/3 , y-intercept = -4 

y=4/3x-4

200

Write the slope intercept form of the equation.

3x-2y=-16

y=3/2x +8

300

Write the slope intercept form of the equation.

6x+5y=-15

y=-6/5x - 3

400

Which equation represents a line with the same y-intercept as y=-2x+5?

a. y=-2x+4

b. y+5=x

c. 3y=6x+15

d. 2y=-8x+4

c. 3y=6x+15

500

Write the following in slope intercept form

y - 1 = 2/3(x+3)

y=2/3x + 3

Using Slope Formula

100

Find the slope of the line through the pair of points

(1,-19) (-2,-7)

-4

200

Find the slope of the line through the pair of points

(19,3) (20,3)

0

300

Find the slope from the following points

(17, -13) (17,8)

Undefined

400

(6, -10) (-15, 15)

-25/21

500

Determine two coordinate points that will produce a slope of 5/8

(2,3) (10,8)

Writing Linear Equations

100

through (1,5), slope = 3

y=3x+2

200

through (2,-2), slope = -5/6

y= -5/6x - 1/3

300

What is the equation of a line that passes through the coordinates (2,6) and (-2,4)?

y= 1/2x + 5

400

through (1, -5) and (-2,2)

y= -7/3x - 8/3

500

through: (2, -4), parallel to y=3x+2

y=3x-10

Let's Graph

100

Based on the table find the slope and y-intercept (google slides)

y-intercept = 7 (0,7)

slope = 2

200

Using the graph, find the slope of the line (google slides)

-5/4

300

Write the equation of a line from the graph. (google slides)

y=5/3x + 3

400

Is (1,2) a solution to the following graph? (google slides)

a. Explain your answer. 

b. solve algebraically to check.

a. No, because (1,2) is not a coordinate point on the line. 

b. y= 1/2x +2

2= 1/2 (1) +2

2 doesn't equal 2.5

500

Create a graph of the following equation: x-2y= -6. Make sure to label your x and y axis.

Solution on google slides

Mixed Review

100

Which ordered pair is not a solution to the equation of y=3x−4? 

a. 0,−4)
b. (2,2)
c. (−1,−7)
d. (3,−1)

d. (3,-1)

200

Find the slope of the line 

4x+5y=-10

-4/5

300

Find the equation of a line that passes through the points (6,4) and (6, 12)

x=6

400

Write the slope intercept form of the equation of the line described. 

through (-5,5), perpendicular to y=5/9x - 4

y= -9/5x - 4

500

The cost for 7 dance lessons is $82. The cost for 11 lessons is $122. 

Part a) Write a linear equation, slope-intercept form, to find the total cost, y, for, x, lessons.

Part b) Find the cost of 4 lessons

a) y= 10x+ 12

b) $52