Find the equation of the line passing through the points. (2, 6) and (4, 10)
A) $y = \frac { 1 } { 2 } x + 2$
B) $y = 2 x + 2$
C) $y = - 2 x + 2$
D) $y = - \frac { 1 } { 2 } x + 2$
E) $y = - 2 x - 2$

Question

Quizplus · Accepted Answer

First, calculate the slope (m) using the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$, which gives $m = \frac{10 - 6}{4 - 2} = 2$. Then, use one of the points and the slope to find the equation of the line. Using point (2, 6), the equation is $y - 6 = 2(x - 2)$, simplifying to $y = 2x + 2$.

Find the Equation of the Line Passing Through the Points y=12x+2y = \frac { 1 } { 2 } x + 2y=21​x+2

Find the Equation of the Line Passing Through the Points $y = \frac { 1 } { 2 } x + 2$