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