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Lesson 2.2 to 2.3 Solving for Slope and Graphing Linear Equation
Question
Find slope
Find slope
Graph linear
equation
Graph linear
equation using
slope and yintercept
Graph linear
equation using
slope and yintercept
Given
Graph
Two points (x1, y1)
and (x2, y2)
Slope (m) and
y-intercept(b)
Equation in the form
of y= mx + b
Ex. Graph y = x +1
Equation that is not
in the form of
y = mx +b
Ex.
Graph 3x + 4y = 12
Method
1. Pick 2 exact point.
2. Count the rise (jump up +,
jump down -)
Solve for m using
m = (y2- y1)
(x2, x1)
Use y = mx +b
(substitute the value of m and b)
1. Plot the b in the y-axis
2. Use the m (rise up +, down - ,
over run) to plot the 2nd
point.
3. Connect the dots. (line)
Ex. m =1 ; b = 1
1. Rewrite equation/ Isolate the
y. (y=mx +b)
2. Plot the b in the y-axis
3. Use the m (rise up +, down - ,
over run) to plot the 2nd point.
4. Connect the dots. (line)
Ex. 3x + 4y =12
-3x
-3x___
4y = -3x + 12
4
4
4
Y = -3/4 x +3
m = -3/4
b = 12
Graph linear
equation using
intercepts.
(x and y
intercepts)
Any equation
Ex. Graph
2x + 3y = 12 using
intercepts
1. To solve for y –intercept,
substitute x with 0 (x = 0).
2. To solve for x –intercept,
substitute y with 0 (y=0).
Ex.
y-intercept (x =0) x –intercept (y=0)
2x + 3y =12
2(0) + 3y =12
3y =12
y=4
2x + 3y =12
2x + 3(0)=12
2x = 12
x=6
What answer look like
m = ____
m = ____
y = mx + b
Graph