Finding Slope of a Line
Evaluate:
-2 - 5
-7
What form of equations do we use for lines?
y = mx + b or slope intercept form.
Solve:
3x - 2 = -14
x = -4
Write an equation for a vertical line through the point (-3, 3)
x = -3
Describe the graph of the following equation
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.
The slope and y-intercept of the equation
y=-2x + 4
What is m=-2 and b=4
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
Name three ways to describe slope.
Possible answers: rate of change
rise over run
y - y/x - x
slope = m in y = mx + b
Describe how to graph the following equation
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.
What is the slope of this equation?
x = 5
Undefined Slope
Write an equation for a line with the following slope and points.
m = 2/3 and (0, -2), (3, 0)
y = 2/3x - 2
Make a table of values with at least 4 ordered pairs for the following equation. y = 1/2x -5 Then plot the ordered pairs.
Possible values:
X=0 Y=-5
x= 1 y=-4.5
x=2 y=-4
X=4 y=-3
x=6 y=-2
Is x = 2 a solution to the equation 2(x - 5) + 3 = 13 ?
If the answer is no, what is the solution.
No it is not a solution.
x=10
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.