Show:
Finding Slope of a Line
Graphing Linear Equations
Slope-Intercept vs Point-Slope
Form
Interpretation
Parallel / Perpendicular
100
Identify the slope of the following equation. y = mx + b
the variable m
100
What form do we use to graph a linear equation?
the slope-intercept form y = mx + b
100

What is slope intercept form?

What is point slope form?

y = mx + b

y-y1 = m(x-x1)

100

Y = -4x + 21

as y decreases by 4 units, x increases by 1 unit

100

What do we know about the slopes of Parallel Lines?

slopes are same

200
Identify the slope of the following equation. y = 2x + 3
slope is 2
200
When graphing linear equations, where do we begin?
We begin at the y-intercept.
200
In the following linear equation, what is the y-intercept? y = -3/4x
0
200


2/3x +6 = 1/3y

as y increases by 2 units, x increases by 1 unit

200

What are perpendicular lines? What is something unique about their equations?

2 lines that intersect to create a 90 degree angle.
the slopes of perpendicular lines are always negative reciprocals of each other.

300

what are the 4 types of slope? explain

1. upward = positive slope

2. downward = negative slope 

3. horizontal = zero

4. vertical - undefined

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.
300
Rewrite this equation in slope-intercept form. x + y = -12
y = -x - 12
300

2x + 5y -3 =0

and y decreases by 2 units, x increases by 5 units.

300

y=-2x+6

Write the equation of a line parallel to this and passes through (4,6)

y=-2x+14

400
Find the slope of the line that includes the following points. (4, -5) (-4, 5)
-10/8 which simplifies to -5/4
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.
400

A line passes through (2,6) and (5,7)

Use any one point to write the equation of the line in point slope form

y-2 = 1/3(x-6)

400

days :                     4    ;   5   ;   6

price of apples($) : 132 ; 165 ; 198


what is the rate of change?
Interpret the rate of change.

rate of change: 33
interpretation: everyday, the price of apples increases by $33

400

y=-4x+1


write the equation of a line perpendicular to this and passes through (0,1)

y=1/4x+1

500
Find the slope of the line that includes the following points. (-12, -9) (-3, -3)
-6/-9 = 6/9 = 2/3
500

Make a table of values with at least 4 ordered pairs for the following equation. y = 1/2x -5 Then plot the ordered pairs. Draw a line through the points.

Table should list four numbers chosen for x and then solved by multiplying by 1/2 and subtracting 5. If x is 2 then If x is 4 then 1/2(2) = 1 - 5 1/2(4) = 2 - 5 then y = -4 then y = -3

500

Rewrite the following equation in slope-intercept form. 3.5x - 7y = -21

-7y = -3.5x + 21 y = 0.5x - 3 or y = 1/2x - 3

500

2x+3y=12

1. write the equation of a line parallel to this.

2. write the equation of a line perpendicular to this.  

1. y=2/3x+1

2. y=-3/2x+12