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

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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:

$m = \frac{y_{B} - y_{A}}{x_{B} - x_{A}}$ $m=(y_B-y_A)/(x_B-x_A)$

Here: $m = \frac{2 - 4}{7 - (- 2)} = - \frac{2}{9} = - \frac{2}{9}$ $m=(2-4)/(7-(-2))=-2/9=-2/9$

So the equation is: $y = - \frac{2}{9} x + b$ $y=-2/9x+b$

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

$2 = - \frac{2}{9} \cdot 7 + b$ $2=-2/9*7+b$

$b = 2 + \frac{14}{9} = \frac{32}{9}$ $b=2+14/9=32/9$

So the equation of the line is: