We can determine first the slope of the line as follows:
slope = y2-y1 / x2-x1
slope = 4 - 1 / 1 -(-1)
slope = 3 / 2
We use the slope-point form of a line to determine the equation. We do as follows:
y - y1 = m(x - x1)
y - 4 = 3/2(x - 1)
y = 3x/2 - 3/2 + 4
y = 3x/2 + 5/2
Therefore, the last option is correct.
