Find an equation of the line containing the given pair of points
-$(-4,0)$ and $(9,6)$
A) $y=\frac{4}{3} x+18$
B) $y=\frac{6}{13} x+\frac{24}{13}$
C) $y=-\frac{4}{3} x+18$
D) $y=-\frac{6}{13} x+\frac{24}{13}$

Question

Quizplus · Accepted Answer

The slope of the line through points $(-4,0)$ and $(9,6)$ is calculated as $\frac{6-0}{9-(-4)} = \frac{6}{13}$. Using point-slope form and one of the points, for example, $(-4,0)$, we can find the equation of the line. Substituting the slope and the point into $y - y_1 = m(x - x_1)$ gives $y - 0 = \frac{6}{13}(x - (-4))$, which simplifies to $y = \frac{6}{13}x + \frac{24}{13}$.

Find an Equation of the Line Containing the Given Pair (−4,0)(-4,0)(−4,0)

Find an Equation of the Line Containing the Given Pair $(-4,0)$