Answer:
Choice 1. -3x + 2y = 5.
Step-by-step explanation:
The slope of the line = y2-y1/x2-x1
= (4 - 1) / (1 - (-1))
= 3/2.
To find the equation of the line we use the point-slope form of the equation of a line:
y - y1 = m(x - x1) where m = slope and (x1, y1) is a point on the line. So using m = 3/2 and the point (1, 4):
y - 4 = 3/2(x - 1)
y - 4 = 3/2 x - 3/2
Multiply through by 2:
2y - 8 = 3x - 3
-3x + 2y = -3 + 8
-3x + 2y = 5 (answer).
