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