Answer:
2y = 3x-1
Explanation:
Here, we want to find the equation of the line
We start by calculating the slope of the segment AB
mathematically, that will be
m = (y2-y1)/(x2-x-)
m = (2-5)/(4-6) = 3/2
Since the two lines are parallel, their slopes must be equal
We simply insert this value into the point-slope form
y-y1 = m(x-x1)
y-10 = 3/2(x-7)
Multiply through by 2
2y-20 = 3x - 21
2y = 3x-21 + 20
2y = 3x -1