Finding Slope of a Line
What is the point slope form?
y-y=m(x-x)
write the point slope form for a line that passes through (5,8) and has a slope of -3
y-8=-3(x-5)
What form of equations do we use for lines?
y = mx + b or slope intercept form.
When graphing linear equations, where do we begin?
We begin at the y-intercept.
what is the point and slope of the equation:
y+9=-2(x-3)
(3,-9) m=-2
Write an equation for the line
(5,8) , (10, 28)
y=4x-12
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.
State the slope and y-intercept of the linear equation
y= 1/2x-3
Slope- m= 1/2
y-intercept- b=-3
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
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.
is the line of y=-2x+2 going upward or downward? Explain.
downward. it has a negative slope
A cell phone company charges a customer $700 for a phone and a monthly service fee of $50.
Write a linear equation for this problem. How much will the customer pay in 6 months?
y=50x+700
when x=6, y=1000 $1000
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
Find the slope of the line that includes the following points. (-12, -9) (-3, -3)
-6/-9 = 6/9 = 2/3
Make a table of values with at least 4 ordered pairs for the following equation. y = 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 2 and subtracting 5 to get y.
Graph y=1/2x - 3.
Give me at least 3 points as an ordered pair
check students work
write an equation of a line using the slope intercept form or point slope form
X 60 80 100 120
Y 24 8 -8 -24
Slope: -4/5 y-intercept: (0,72)
equation: y= -4/5x+72
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.