Write an equation for the line passing through the given pair of points. Give your final answer in standard form.
-(6, 8) and (10, 12)
A) x - y = - 2
B) x + 2y = 2
C) x + y = - 2
D) x - y = 2

Question

Quizplus · Accepted Answer

To find the equation of the line passing through (6, 8) and (10, 12), first calculate the slope (m) using the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$, which gives $m = \frac{12 - 8}{10 - 6} = 1$. Then, use point-slope form $y - y_1 = m(x - x_1)$ with one of the points, say (6, 8), to get $y - 8 = 1(x - 6)$. Simplifying this to standard form $Ax + By = C$ gives $x - y = -2$.

Write an Equation for the Line Passing Through the Given