Question

Use point slope form to write the equation of a line that passes through the point (14,1) with slope 2/3

Answer 1

= 3y - 2x - 11 = 0

Explanation:

the gradient (m)= 2/3.

the equation =

`= (y - y1)/(x - x2) = m \\ = (y - 1)/(x - 14 ) = (2)/(3) \\ = 3(y - 13 ) = 2(x - 14) \\ = 3y - 39 = 2x - 28 \\ = 3y = 2x - 28 + 39 \\ = 3y = 2x + 11 \\ = 3y - 2x - 11 = 0.`

the equation of the line = 3y - 2x - 11 = 0