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Pre-Algebra Examples
-37y=9−37y=9
Step 1
Step 1.1
Multiply both sides of the equation by -73−73.
-73(-3y7)=-73⋅9−73(−3y7)=−73⋅9
Step 1.2
Simplify both sides of the equation.
Step 1.2.1
Simplify the left side.
Step 1.2.1.1
Simplify -73(-3y7)−73(−3y7).
Step 1.2.1.1.1
Cancel the common factor of 77.
Step 1.2.1.1.1.1
Move the leading negative in -73−73 into the numerator.
-73(-3y7)=-73⋅9−73(−3y7)=−73⋅9
Step 1.2.1.1.1.2
Move the leading negative in -3y7−3y7 into the numerator.
-73⋅-3y7=-73⋅9−73⋅−3y7=−73⋅9
Step 1.2.1.1.1.3
Factor 77 out of -7−7.
7(-1)3⋅-3y7=-73⋅97(−1)3⋅−3y7=−73⋅9
Step 1.2.1.1.1.4
Cancel the common factor.
7⋅-13⋅-3y7=-73⋅97⋅−13⋅−3y7=−73⋅9
Step 1.2.1.1.1.5
Rewrite the expression.
-13(-3y)=-73⋅9−13(−3y)=−73⋅9
-13(-3y)=-73⋅9−13(−3y)=−73⋅9
Step 1.2.1.1.2
Cancel the common factor of 33.
Step 1.2.1.1.2.1
Factor 33 out of -3y−3y.
-13(3(-y))=-73⋅9−13(3(−y))=−73⋅9
Step 1.2.1.1.2.2
Cancel the common factor.
-13(3(-y))=-73⋅9−13(3(−y))=−73⋅9
Step 1.2.1.1.2.3
Rewrite the expression.
--y=-73⋅9−−y=−73⋅9
--y=-73⋅9−−y=−73⋅9
Step 1.2.1.1.3
Multiply.
Step 1.2.1.1.3.1
Multiply -1−1 by -1−1.
1y=-73⋅91y=−73⋅9
Step 1.2.1.1.3.2
Multiply yy by 11.
y=-73⋅9y=−73⋅9
y=-73⋅9y=−73⋅9
y=-73⋅9y=−73⋅9
y=-73⋅9y=−73⋅9
Step 1.2.2
Simplify the right side.
Step 1.2.2.1
Simplify -73⋅9−73⋅9.
Step 1.2.2.1.1
Cancel the common factor of 33.
Step 1.2.2.1.1.1
Move the leading negative in -73−73 into the numerator.
y=-73⋅9y=−73⋅9
Step 1.2.2.1.1.2
Factor 33 out of 99.
y=-73⋅(3(3))y=−73⋅(3(3))
Step 1.2.2.1.1.3
Cancel the common factor.
y=-73⋅(3⋅3)y=−73⋅(3⋅3)
Step 1.2.2.1.1.4
Rewrite the expression.
y=-7⋅3y=−7⋅3
y=-7⋅3y=−7⋅3
Step 1.2.2.1.2
Multiply -7−7 by 33.
y=-21y=−21
y=-21y=−21
y=-21y=−21
y=-21y=−21
y=-21y=−21
Step 2
Step 2.1
The slope-intercept form is y=mx+by=mx+b, where mm is the slope and bb is the y-intercept.
y=mx+by=mx+b
Step 2.2
Find the values of mm and bb using the form y=mx+by=mx+b.
m=0m=0
b=-21b=−21
Step 2.3
The slope of the line is the value of mm, and the y-intercept is the value of bb.
Slope: 00
y-intercept: (0,-21)(0,−21)
Slope: 00
y-intercept: (0,-21)(0,−21)
Step 3
Find two points on the line.
xy0-211-21xy0−211−21
Step 4
Graph the line using the slope, y-intercept, and two points.
Slope: 00
y-intercept: (0,-21)(0,−21)
xy0-211-21xy0−211−21
Step 5