Unit 4 Lesson 2
Rearranging Equations
Minds On:
1.
Solve each equation:
a) x − 2 = 4
d) 3 – b = − 2
2.
b) g + 1 = – 7
e) 3x − 2 = 4
c)
−4=2+a
f) 4n + 1 = − 7
State the slope and y-intercept of each equation:
a) y = 4x – 5
b) y = -x + 3
c) 4x – 5y = 10
If an equation is not in the form y = mx + b, you must rearrange it before you can
identify the slope and y-intercept
Steps to write an equation in the slope and y-intercept form:
1. Isolate the term with y.
2. Divide through by the co-efficient of y.
3. Rearrange to y = mx + b.
Write each equation in the slope yintercept form, y = mx + b. Then state the
slope and y-intercept of each
a) 3x + y + 2 = 0
b) − 2x + 5y = 10
Slope =
Slope =
y-intercept =
y-intercept =
Now on your own…..
c) 3x − 4y + 12 = 10
d) -2x + 4y + 12 = 0
Slope =
Slope =
y-intercept =
y-intercept =
e) 2x + 3y + 1 = 0
f) 4x  5y  20 = 0
Slope =
Slope =
y-intercept =
y-intercept =
Sketch the graph of the lines in e) and f)
Worksheet
1. Convert the equations below into slope y-intercept form.
a) 3x + y – 1 = 0
b) 3x – 4y – 12 = 0
2. Now, state the slope and y-intercept for each equation.
a)
b)
m = _______ b = ________
3.
m = _______ b = ________
For each equation:
 Convert to slope y-intercept form
 State the slope and y-intercept.
 Graph on the grid provided. Use a different colour for each line. Label
each.
a) 2x + y – 4 = 0
b) 4x + 2y + 6 = 0
m = ___ b = ___
m = ____ b = ____
c) x – y – 5 = 0
d) 3x + 2y – 8 = 0
m = ____ b = ____
1
0
8
6
4
2
-10
-8
-6
-4
-2
2
-2
-4
-6
-8
-10
4
6
8
1
0
m = ____ b = ____