Finding Slope of a Line
Identify the slope of the following equation. y = mx + b
the variable m
What form do we use to graph a linear equation?
the slope-intercept form y = mx + b
Evaluate:
-2 - 5
-7
In slope intercept form,
M is the ___________
B is the ___________
M is the slope
B is the y-intercept
Identify the slope of the following equation. y = 2x + 3
slope is 2
When graphing linear equations, where do we begin?
We begin at the y-intercept.
Solve for x
3x - 2 = -14
x = -4
A vertical line is called ______________
undefined
How could you describe slope to a friend?
Possible answers:
rate of change
rise over run
y - y x - x
slope = m in y = mx + b
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.
Subtract.
6/7 - 7/21
11/21
Write an equation for a line with the following slope and points.
m = 2/3 and (0, -2), (3, 0)
y = 2/3x - 2
Find the slope of the line that includes the following points. (4, -5) (-4, 5)
-10/8 which simplifies to -5/4
Graph the following equation. Include at least three points. y = -2x-5
Graph should begin with a point on the y-axis at -2. go down 5 over1.
Solve in form y=mx+b
8x + 4y = 16
y = -2x + 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
Find the slope of the line that includes the following points. (-12, -9) (-3, -3)
-6/-9 =
6/9 =
2/3
Graph the following equation. y = 1/2x -5
Then plot the points. Draw a line through the points.
Start at -5.
Go up 1 over 2.
Find the slope:
(2, -2) (-6, 5)
m = -7/8
Use your graph paper.
Start at (0,1) go down 3 and right 4.
What is the equation for that line?
y = -3/4x + 1