Find an equation of the line containing the given pair of points
-$(-2,-5)$ and $(-9,-3)$
A) $y=-\frac{1}{2} x-\frac{15}{2}$

B) $y=-\frac{2}{7} x-\frac{39}{7}$

C) $y=\frac{1}{2} x-\frac{15}{2}$

D) $y=\frac{2}{7} x-\frac{39}{7}$

Question

Find an equation of the line containing the given pair of points
-$(-2,-5)$ and $(-9,-3)$
A) $y=-\frac{1}{2} x-\frac{15}{2}$

B) $y=-\frac{2}{7} x-\frac{39}{7}$

C) $y=\frac{1}{2} x-\frac{15}{2}$

D) $y=\frac{2}{7} x-\frac{39}{7}$

Quizplus · Accepted Answer

To find the equation of the line, we first calculate the slope (m) using the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1, y_1) = (-2, -5)$ and $(x_2, y_2) = (-9, -3)$. Thus, $m = \frac{-3 - (-5)}{-9 - (-2)} = \frac{2}{-7} = -\frac{2}{7}$. Then, using the point-slope form $y - y_1 = m(x - x_1)$ with one of the given points, we can find the equation of the line. Substituting $m = -\frac{2}{7}$ and the point $(-2, -5)$, we get $y - (-5) = -\frac{2}{7}(x - (-2))$, which simplifies to $y = -\frac{2}{7}x - \frac{39}{7}$, matching option B.

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Find an Equation of the Line Containing the Given Pair $(-2,-5)$