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Finding Slope of a Line
Graphing Linear Equations
Slope-Intercept Form
RANDOM ?'s
Writing Equations
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

or

Standard form ax + by = c

100
What is slope intercept form?
y = mx + b
100

Graph y = 4

It will be a horizontal line going through the y intercept of 4.

100

What form of equations do we use for lines?

y = mx + b   or ax + by = c

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

Graph x = -2

It will be a vertical line going through the x intercept of -2

200

Write an equation for a vertical line through the point (-3, 3)

x = -3

300
Name three ways to describe slope.
Possible answers: rate of change rise over run y - y x - x slope = m in y = mx + b
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

What is the slope of this equation?

 x = 5

Undefined Slope

300

Write an equation for a line with the following slope and points.

 m = 2/3   and (0, -2),  (3, 0)

y = 2/3x - 2

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
Rewrite the following equation in slope-intercept form. 3x + 6y = -18
y = -1/2x - 3
400

Graph the following equation. 8x + 4y = 16


Using Standard form -  x intercept is 2 and y intercept is 4

Or

Should be rewritten as y = -2x + 4 and then graphed. - y intercept of 4, then going down 2 to the right 1

400

Write an equation for a line with the following two points. Find the slope and y intercept. (15, -10) (5, 10)

slope = -2 y intercept = 20

y = -2x + 20

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

Write -3x - 4y = 12 in slope intercept form.

y = -3/4x - 3

500

The amount y(in dollars) of money you have left after playing x games at a carnival is y = -0.75x + 10. How much money do you have after playing eight games? Graph the equation and show your explanation.

y = -0.75(8) + 10 y = -6 + 10 y = 4 $4 dollars left after playing 8 games. Graph should begin at (0, 10) on the y-axis and move down three and four to the right.