What is the equation of the line between $(-2,4)$ and $(7,2)$ ?

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Answer 1 · 2018-05-12T07:21:39

See explanation.

If we have two points on a line we can easily calculate its slope:

$m=(y_B-y_A)/(x_B-x_A)$

Here: $m=(2-4)/(7-(-2))=-2/9=-2/9$

So the equation is: $y=-2/9x+b$

Now we have to calculate $b$ using any of the given points:

$2=-2/9*7+b$

$b=2+14/9=32/9$

So the equation of the line is: