Find an equation of the line containing the given pair of points
-$(3,-1)$ and $(4,-3)$
A) $y=-\frac{1}{2} x+\frac{1}{2}$
B) $y=-2 x+5$
C) $y=2 x-7$
D) $y=\frac{1}{2} x-\frac{5}{2}$

Question

Quizplus · Accepted Answer

The slope of the line through points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $m = \frac{y_2 - y_1}{x_2 - x_1}$. For points $(3, -1)$ and $(4, -3)$, the slope is $m = \frac{-3 - (-1)}{4 - 3} = \frac{-2}{1} = -2$. Using point-slope form $y - y_1 = m(x - x_1)$ with point $(3, -1)$, we get $y + 1 = -2(x - 3)$, simplifying to $y = -2x + 5$.

Find an Equation of the Line Containing the Given Pair (3,−1)(3,-1)(3,−1)

Find an Equation of the Line Containing the Given Pair $(3,-1)$