Finding Slope of a Line
Identify the slope of the following equation.
y=mx+b
Slope is the variable m
What form do we use to graph a linear equation?
The slope intercept form
y=mx+b
Using slope intercept form, what is the slope and y-intercept?
slope = m
y-intercept = b
Evaluate:
-2 -5
-7
What form of equations do we use for lines?
y=mx+b
slope intercept form
Identify the slope of the following equation.
y=2x+3
Slope = 2
When graphing linear equations, where do we begin?
Start at the y-intercept
In the following linear equation, what is the y-intercept? y=-3/4x
y-intercept = 0
Solve for x:
3x - 2 = -14
x= -4
Write an equation for a vertical line through the point (-3,3). Graph the equation
x= -3
Name three ways to describe slope
1) rate of change
2) rise over run
3) m=y2-y1/x2-x1
4) y=mx+b
Graph the following equation. Include at least 3 points on the line.
y=1/2x-2
Graph should start with b=-2.
Up 1 & right 2
(-4,-4)(-2,-2)(0,-2)(2,-1)(4,0)
Rewrite this equation in slope intercept form.
x+y= -12
y= -x -12
What is the slope of this equation? Graph
x=5
Vertical line when x=5
Write an equation for a line with the following slope and points.
m=2/3 (0,-2) (3,0)
y=2/3x -2
Find the slope of the line that includes the following points. (4,-5) (-4,5)
m=-5/4 (simplify)
Graph the following equation. Include at least three points.
y=2
Horizontal line
(-2,2)(0,2)(2,2)
Rewrite the following equation in slope intercept form.
3x + 6y = -18
y= -1/2x - 3
Graph the following following equation.
8x + 4y = 16
Rewrite equation: y=-2x+4
m= down 2 & right 1
b= 4
Write an equation for a line with the following two points. Find the slope and y-intercept
(15,-10) (5,10)
m=-2
b=20
y=-2x+20
Find the slope of the line that includes the following points. (-12,-9) (-3,-3)
m=-4/3 (Simplify)
Graph the following equation and include four points on the line.
y=1/2x-3
Start at (0,-3)
(-2,-4)(0,-3)(2,-2)(4,-1)
Rewrite the following equation in slope intercept form.
3.5x - 7y = -21
y= 1/2x + 3
Is x=2 a solution to the equation:
2(x - 5) +3=13
x=2 is not a solution to the equation
Write an equation for a line with the following two points. Find the slope and y-intercept
(4,3)(-2,-6)
y=3/2x-3
m=up 3 & right 2
b= -3