Review - Linear Equations

Finding Slope of a Line

100

Identify the slope of the following equation. y = mx + b

the variable m

200

Identify the slope of the following equation. y = 2x + 3

slope is 2

300

How do you find the slope?

The change in y divided by the change in x. 

400

Find the slope of the line that includes the following points. (4, -5) (-4, 5)

-10/8 which simplifies to -5/4

500

Find the slope of the line that includes the following points. (-12, -9) (-3, -3)

-6/-9 = 6/9 = 2/3

Graphing Linear Equations

100

What does the graph look like for a linear equation?

A straight line.

200

What does x equal for the y-intecept?

X = 0

300

Write 2 points for the following equation:  

y = 2x + 4

(0,4)

(1, 6)

(2, 8)

(3, 10)

400

If y = 5, is the graph horizontal or vertical?

Horizontal 

500

Write 2 points for the equation: 

y = -3x - 6

(0, -6)

(1, -9)

(2, -12)

(3, -15)

Standard Form

100

What is standard form?

Ax + By = C

200

What does y equal for the x-intercept?

y = 0

300

Find the x-intercept for the following equation:

5x + 10y = 30

(6, 0)

400

Find the y-intercept for the following equation:

2x + 4y = 20

(0, 5)

500

Find the x and y intercepts for the following equation:

6x + 3y = 12

x:  (2, 0)

y: (0, 4)

Point-Slope Form

100

What is point slope form?

y - y1 = m(x - x1)

200

Write an equation for point slope form for:

the point (5, 7) and slope of 2.

y - 7 = 2(x - 5)

300

What is the slope of this equation?

y - 3 = 4(x - 6)

Slope = 4

400

What is the point that the following equation crosses through:

y - 1 = 9(x - 7)

(7,1)

500

Write an equation for point-slope form for the points (4, 3) and (6, 7).

y - 3 = 2(x - 4)

OR

y - 7 = 2(x - 6)