Review - Linear Equations

Finding Slope of a Line

100

Name three ways to describe slope.

Possible answers: rate of change rise over run y - y/ x - x slope = m in y = mx + b

200

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

slope is 2

300

The slope of a vertical line is______. 

Undefined

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 type of line has zero slope?

Horizontal

200

What type of line has no slope?

Vertical

300

Graph the following equation. Include at least 3 points. y = 1/3x + 4

Graph should start with the point at (0, 4) Movement should be 1 up and 3 to the right continuing to another point. Movement could also be 1 down and 3 to the left.

400

Graph the following equation. Include at least three points. y = -2

Graph should begin with a point on the y-axis at -2. A horizontal line should be drawn through -2 extending on both sides of the y-axis.

500

Graph the equation 

y = 1/2x -5 

Start at (0, -5) and then count up 1 and over 2 and drop a point.  Make the line. 

Slope-Intercept Form

100

What is slope intercept form?

y = mx + b

200

In the following linear equation, what is the y-intercept? 

y = -3/4x

0

300

Rewrite this equation in slope-intercept form. 

x + y = -12

y = -x - 12

400

Rewrite the following equation in slope-intercept form. 

3x + 6y = -18

y = -1/2x - 3

500

Rewrite the following equation in slope-intercept form. 

7/2 x - 7y = -21

 y = 0.5x + 3 or y = 1/2x + 3

Equations of Lines

100

What is the equation of a vertical line through (3, -8) ?

x = 3

200

What is the the horizontal line through the point (2, -4) ?

y = -4

300

What is the equation of the a line through the point (2, 4) with slope of 5 in slope intercept form?

y = 5x - 6

400

What is the equation of the a line through the point (2, 4) with slope of 5 in point-slope form?

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

500

What is the equation of the a line through the point (2, 4) with slope of 5 in standard form?

5x - y = 6

Point Slope Form

100

What is point-slope form of a line?

y-y₁ = m(x - x₁) 

200

Write an equation of a line in point-slope form through the point (-3, 3) with slope 5.

y-3 = 5(x+3)

300

Write an equation of a line in point-slope form through the point (-3, 3) and (4, 9)

y-3= 6/7(x+3) or

y-9= 6/7(x-4)

400

Write an equation for a line with the following two points.  

(15, -10) (5, 10)

y+10 = -2(x-15) or

y-10=-2(x-5)

500

It snowed 12 inches yesterday. There is currently 15 inches of snow on the ground. Write an equation for the amount of snow from the past two days in point slope form. 

y-12=3/2(x-0) or 

y-15=3/2(x-2)