Precalculus Examples

y=x-2 , (2,6)
Step 1
Use the slope-intercept form to find the slope.
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Step 1.1
The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Step 1.2
Using the slope-intercept form, the slope is 1.
m=1
m=1
Step 2
To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.
Step 3
Use the slope 1 and a given point (2,6) to substitute for x1 and y1 in the point-slope form y-y1=m(x-x1), which is derived from the slope equation m=y2-y1x2-x1.
y-(6)=1(x-(2))
Step 4
Simplify the equation and keep it in point-slope form.
y-6=1(x-2)
Step 5
Solve for y.
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Step 5.1
Multiply x-2 by 1.
y-6=x-2
Step 5.2
Move all terms not containing y to the right side of the equation.
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Step 5.2.1
Add 6 to both sides of the equation.
y=x-2+6
Step 5.2.2
Add -2 and 6.
y=x+4
y=x+4
y=x+4
Step 6
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 [x2  12  π  xdx ] 
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