Pre-Algebra Examples

Find the y-intercept 6x-3y=8
Step 1
Rewrite in slope-intercept form.
Tap for more steps...
Step 1.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 1.2
Subtract from both sides of the equation.
Step 1.3
Divide each term in by and simplify.
Tap for more steps...
Step 1.3.1
Divide each term in by .
Step 1.3.2
Simplify the left side.
Tap for more steps...
Step 1.3.2.1
Cancel the common factor of .
Tap for more steps...
Step 1.3.2.1.1
Cancel the common factor.
Step 1.3.2.1.2
Divide by .
Step 1.3.3
Simplify the right side.
Tap for more steps...
Step 1.3.3.1
Simplify each term.
Tap for more steps...
Step 1.3.3.1.1
Move the negative in front of the fraction.
Step 1.3.3.1.2
Cancel the common factor of and .
Tap for more steps...
Step 1.3.3.1.2.1
Factor out of .
Step 1.3.3.1.2.2
Cancel the common factors.
Tap for more steps...
Step 1.3.3.1.2.2.1
Factor out of .
Step 1.3.3.1.2.2.2
Cancel the common factor.
Step 1.3.3.1.2.2.3
Rewrite the expression.
Step 1.3.3.1.2.2.4
Divide by .
Step 1.4
Reorder and .
Step 2
Using the slope-intercept form, the y-intercept is .
Step 3
y-intercept in point form.
Step 4