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Finding Slope of a Line
Graphing Linear Equations
Slope-Intercept Form
Standard Form
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
100
What is slope intercept form?
y = mx + b
100
What is the standard form of a linear equation?
Ax + By = C
100
Write and equation for the line shown on the graph.
y = mx + b
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
Rewrite the linear equation below in standard form. y = -x + 5
x + y = 5
200
Write an equation for the line shown.
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
Rewrite the linear equation below in standard form. y = 1/2x -1
-1/2x + y = -1
300
Write an equation for a line with the following slope and points. m = 2/3 (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
Should be rewritten as y = -2x + 4 and then graphed.
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
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
Graph the following equation. -1/2x + 1/8y = 3/4
Rewrite as 1/8y = 1/2x + 3/4 Then multiply the entire equation by 8/1 Graph y = 4x + 6
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.