What is the equation of the line between $(3, 6)$ $(3,6)$ and $(2, 9)$ $(2,9)$ ?

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Answer 1 · 2017-06-23T09:53:26

$y = - 3 x + 15$ $y=-3x+15$

To find the equation of a line, you require:
1. Gradient
2. x,y coordinates

Gradient $= \frac{y_{1} - y_{2}}{x_{1} - x_{2}}$ $= (y_1-y_2)/(x_1-x_2)$

$= \frac{6 - 9}{3 - 2}$ $=(6-9)/(3-2)$

$= - 3$ $=-3$

Equation of a line : $y - y_{1} = m (x - x_{1})$ $y-y_1=m(x-x_1)$

Using $(3, 6)$ $(3,6)$ , $m = - 3$ $m=-3$ ,

$y - 6 = - 3 (x - 3)$ $y-6=-3(x-3)$

$y = - 3 x + 9 + 6$ $y=-3x+9+6$

$y = - 3 x + 15$ $y=-3x+15$

What is the equation of the line between (3,6)(3,6)(3,6) and (2,9)(2,9)(2,9)?