What is the equation of the line between $(6,5)$ and $(2,9)$ ?

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Answer 1 · 2018-03-03T16:39:27

$y=-x+11$

The gradient of the line is found using the equation

$m=(y_2-y_1)/(x_2-x_1)$

Substituting $y_1 = 5, y_2 =9 and x_1 = 6, x_2 = 2$ we get:

m = $(9-5)/(2-4) = 4/-4 = -1$

Using the formula for a line $y = mx+c$ and knowing that $m= -1$ and having a point we can work out the equation of the line:

$5 = -1(6)+c$
$5 = -6+c$
$11=c$

Therefore:

$y = -x+11$

What is the equation of the line between (6,5)(6,5) and (2,9)(2,9)?