Algebra Examples

Find the Equation with a Point and y-Intercept
(10,10) , b=1
Step 1
Find the value of m using the formula for the equation of a line.
y=mx+b
Step 2
Substitute the value of b into the equation.
y=mx+1
Step 3
Substitute the value of x into the equation.
y=m(10)+1
Step 4
Substitute the value of y into the equation.
10=m(10)+1
Step 5
Find the value of m.
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Step 5.1
Rewrite the equation as m(10)+1=10.
m(10)+1=10
Step 5.2
Move 10 to the left of m.
10m+1=10
Step 5.3
Move all terms not containing m to the right side of the equation.
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Step 5.3.1
Subtract 1 from both sides of the equation.
10m=10-1
Step 5.3.2
Subtract 1 from 10.
10m=9
10m=9
Step 5.4
Divide each term in 10m=9 by 10 and simplify.
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Step 5.4.1
Divide each term in 10m=9 by 10.
10m10=910
Step 5.4.2
Simplify the left side.
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Step 5.4.2.1
Cancel the common factor of 10.
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Step 5.4.2.1.1
Cancel the common factor.
10m10=910
Step 5.4.2.1.2
Divide m by 1.
m=910
m=910
m=910
m=910
m=910
Step 6
Now that the values of m (slope) and b (y-intercept) are known, substitute them into y=mx+b to find the equation of the line.
y=910x+1
Step 7
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 [x2  12  π  xdx ] 
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