Find an equation of the line containing the given pair of points
-(-5, 3) and (-1, 11)
A) y = 13x + 2
B) y = -2x + 13
C) y = 2x + 13
D) y = 13x - 2

Question

Quizplus · Accepted Answer

The slope (m) of the line can be calculated using the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1, y_1)$ and $(x_2, y_2)$ are the given points. Substituting the given points (-5, 3) and (-1, 11) into the formula gives $m = \frac{11 - 3}{-1 + 5} = \frac{8}{4} = 2$. To find the equation of the line, we use the point-slope form $y - y_1 = m(x - x_1)$, substituting one of the points and the slope we found: $y - 3 = 2(x + 5)$. Simplifying this gives $y = 2x + 13$, which matches option C.

Find an Equation of the Line Containing the Given Pair