6. Find the equation of the line that goes through the point (4, 3) with a slope of 3/2.

 

 

Use the point-slope form of the equation.

 

 

where

and

 

When we substitute these numbers into the point-slope form of the equation, we get

 

 

Now solve for y. First simplify. Remove parentheses on the right.

 

 

add 3 to both sides

 

 

Check:

 

The slope is the coefficient of the x term which is certainly 3/2. To complete the check let's see if the point (4, 3) is a solution. Substitute a 4 for x and a 3 for y into the equation.

 

 

 

and it checks

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