Find the equation of the line passing through the points. (2, 5) and (10, 9)
A) $y = - \frac { 1 } { 2 } x + 4$
B) $y = - 2 x + 4$
C) $y = \frac { 1 } { 2 } x + 4$
D) $y = 2 x + 4$
E) $y = - 2 x + 2$

Question

Quizplus · Accepted Answer

Using the formula for the slope of a line passing through two points, we have:
$$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{9-5}{10-2} = \frac{4}{8} = \frac{1}{2}$$
Using the point-slope form of the equation of a line, we have:
$$y - y_1 = m(x - x_1) \Rightarrow y - 5 = \frac{1}{2}(x - 2)$$
Simplifying, we get:
$$y = \frac{1}{2}x + 3$$
Thus, the equation of the line passing through the points (2,5) and (10,9) is $y = \frac{1}{2}x + 3$, which corresponds to choice C.

Find the Equation of the Line Passing Through the Points y=−12x+4y = - \frac { 1 } { 2 } x + 4y=−21​x+4

Find the Equation of the Line Passing Through the Points $y = - \frac { 1 } { 2 } x + 4$