Find the equation in standard form of the line passing throu

Find the equation, in standard form, of the line passing through the points (3, 4) and (5, 1). A. 2x - 3y = 9 B. 5x - 2y = 23 C. 5x + 2y = 23 D. y = 5/2x - 23/2

Solution

The slope is 1-(-4) / 5-3 = 5/2

The only equation which satisfies this is B

For B slope is -a/b . where a and b are coefficient of x and y = -5/-2 = 5/2