Question

Write an equation in standard form of the line passing through the points (4, 3) and (7, 9).

The equation is
(Type your answer in standard form.)

Answer 1

2x -y = 5

Explanation:

The 2-point form of the equation of a line is a useful starting point.

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

y = (9 -3)/(7 -4)(x -4) +3

y = 6/3(x -4) +3 = 2(x -4) +3 = 2x -8 +3

Adding 5-y, we get ...

2x -y = 5