Question

Find the equation of the line show

Answer 1

Equation : y = 2x + 3

Explanation:

By considering any two coordinates from the line.

For example: I choose (0, 3) and (2, 7)

slope :

`slope = (y_2 - y_1)/(x_2 - x_1) = (7-3)/(2-0) = (4)/(2) = 2`

Equation :

`(y - y_1) = m (x - x_1)\\\\(y - 7) = 2 (x - 2)\\\\y - 7 = 2x - 4\\\\y = 2x - 4 + 7 \\\\y = 2x + 3`