Find the equation of the line through the points (-2, 1) and (-\(\frac{1}{2}\), 4)
A
y = 2x - 3
B
y = 2x + 5
C
y = 3x - 2
D
y = 2x + 1
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\(\frac{y - y_1}{x - x_1}\) = \(\frac{y_2 - y_1}{x_2 - x_1}\)
\(\frac{y - 1}{x - -2}\) = \(\frac{4 - 1}{-\frac{1}{2} + 2}\)
= \(\frac{y - 1}{x + 2}\) = \(\frac{3}{\frac{3}{2}}\)
y = 2x + 5
Source: Myschool Past Questions Archive (Record #27339)