Answer:
A. y = 3x – 10
Step-by-step explanation:
We have equation of line passing through two points (x1, y1) and (x2, y2) as,
(y - y1) = [(y2 - y1)/(x2 - x1)] (x - x1)
(y + 4) = [(2 + 4)/(4 - 2)] (x - 2)
(y + 4) = (6/2)(x - 2)
(y + 4) = 3(x - 2)
3x - y - 10 = 0 --- (1)
Now, slope-intercept form of line is y = mx + c
Rearranging equation (1) ⇒ y = 3x - 10
Therefore, the required equation is y = 3x - 10
