Precalculus Examples
3x+4y=-53x+4y=−5
Step 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
Step 2.1
Subtract 3x3x from both sides of the equation.
4y=-5-3x4y=−5−3x
Step 2.2
Divide each term in 4y=-5-3x4y=−5−3x by 44 and simplify.
Step 2.2.1
Divide each term in 4y=-5-3x4y=−5−3x by 44.
4y4=-54+-3x44y4=−54+−3x4
Step 2.2.2
Simplify the left side.
Step 2.2.2.1
Cancel the common factor of 44.
Step 2.2.2.1.1
Cancel the common factor.
4y4=-54+-3x44y4=−54+−3x4
Step 2.2.2.1.2
Divide yy by 11.
y=-54+-3x4y=−54+−3x4
y=-54+-3x4y=−54+−3x4
y=-54+-3x4y=−54+−3x4
Step 2.2.3
Simplify the right side.
Step 2.2.3.1
Simplify each term.
Step 2.2.3.1.1
Move the negative in front of the fraction.
y=-54+-3x4y=−54+−3x4
Step 2.2.3.1.2
Move the negative in front of the fraction.
y=-54-3x4y=−54−3x4
y=-54-3x4y=−54−3x4
y=-54-3x4y=−54−3x4
y=-54-3x4y=−54−3x4
Step 2.3
Write in y=mx+by=mx+b form.
Step 2.3.1
Reorder -54−54 and -3x4−3x4.
y=-3x4-54y=−3x4−54
Step 2.3.2
Reorder terms.
y=-(34x)-54y=−(34x)−54
Step 2.3.3
Remove parentheses.
y=-34x-54y=−34x−54
y=-34x-54y=−34x−54
y=-34x-54y=−34x−54
