L-1 Math 8 Rewriting Linear Equations In Slope Intercept Form Worksheet
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3L-1 Math 8
Aim: To re-write linear equations in y = mx + b form (8.EE.6)
Slope-Intercept Form
The equation of a line written in the form y = mx + b
of a Linear Equation
is said to be in slope-intercept form. To write an
equation in slope-intercept form, you need to isolate y
by using the properties of equality.
Example #1:
Rewrite the equation 4x – 2y = 12 in slope-intercept form.
4x – 2y = 12
-4x
-4x
1. Subtract 4x from each side to isolate y.
-2y = -4x + 12
2. Simplify.
-2
-2
-2
3. Divide each term by -2 to get y by itself.
y = 2x - 6
4. Simplify.
Rewrite each of the following equations in y = mx + b form. Show each step!
x + y = -15
y + 8x = 1
2)
3)
-2x + y = 1
3y – 2x = 9
4)
5)
2y = -1x – 8
y – 4 = -3(x – 3)
6)
7)
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