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.

y - y1 = m(x - x1)

where

m = 3/2

and

(x1, y1) = (4, 3)

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.

3 = 6 - 3

and it checks

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