Find an equation of the line containing the given pair of points (-5,-8) and (-9,-2)
+26399 Find an equation of the line containing the given pair of points (-5,-8) and (-9,-2)
\small{\text{ $\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1} \Rightarrow \boxed{y=\left( \dfrac{y_2-y_1}{x_2-x_1}\right)x+\dfrac{y_1x_2-x_1y_2}{x_2-x_1}} $ }} \\ \\ \small{\text{ $P_1 (x_1=-5, y_1=-8) \qquad P_2 (x_2=-9, y_2=-2) $ }} \\ \\ \small{\text{ y=\left( \dfrac{ (-2)-(-8)}{(-9)-(-5) }\right)x +\dfrac{(-8)(-9)-(-5)(-2)} { (-9)-(-5) } $ }} \\ \\ \small{\text{ $ y=- \dfrac{ 6 }{ 4 }x +\dfrac{ 72-10 } { -4 } $ }} \\ \\ \small{\text{ $ y=-1.5x -15.5$ }}
Check: -8 = -1.5(-5) - 15.5 ok
-2 = -1.5(-9) - 15.5 ok
+26399 Find an equation of the line containing the given pair of points (-5,-8) and (-9,-2)
\small{\text{ $\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1} \Rightarrow \boxed{y=\left( \dfrac{y_2-y_1}{x_2-x_1}\right)x+\dfrac{y_1x_2-x_1y_2}{x_2-x_1}} $ }} \\ \\ \small{\text{ $P_1 (x_1=-5, y_1=-8) \qquad P_2 (x_2=-9, y_2=-2) $ }} \\ \\ \small{\text{ y=\left( \dfrac{ (-2)-(-8)}{(-9)-(-5) }\right)x +\dfrac{(-8)(-9)-(-5)(-2)} { (-9)-(-5) } $ }} \\ \\ \small{\text{ $ y=- \dfrac{ 6 }{ 4 }x +\dfrac{ 72-10 } { -4 } $ }} \\ \\ \small{\text{ $ y=-1.5x -15.5$ }}
Check: -8 = -1.5(-5) - 15.5 ok
-2 = -1.5(-9) - 15.5 ok
