Question

Write the equation in the form Ax + By = C. Find an equation of a line passing through the pair of points (4,7) and (3,4).

Answer 1

`3x - y = 5`

Explanation:

The two pint equation of a line:

`y - y_1 = (y_2 - y_1)/(x_2 - x_1)(x - x_1)`

We have

`x_1 = 4`

`x_2 = 3`

`y_1 = 7`

`y_2 = 4`

`y - 7 = (4 - 7)/(3 - 4)(x - 4)`

`y - 7 = (-3)/(-1)(x - 4)`

`y - 7 = 3(x - 4)`

`y - 7 = 3x - 12`

`5 = 3x - y`

`3x - y = 5`