Answer:
2y = 3x-1
Explanation:
We start by calculating the slope of AB
m = (y2-y1)/(x2-x1) = (2-5)/(4-6) = 3/2
Since the two lines are parallel, then their slopes are equal
We use the point-slope form to get the equation
That will be;
y-y1 = m(x-x1)
y-10 = 3/2(x-7)
y = 3x/2-21/2+ 10
Multiply through by 2
2y= 3x -21 + 20
2y = 3x-1