Answer:
2Y = 3X - 1
Explanation:
Given that a line passes through A(6,5) and B(4,2) find equation of a line parallel to AB and passes through (7,10)
Let's first find the slope of the equation by using the formula:
M = (Y2 - Y1)/(X2 - X1)
M = (2 - 5)/(4 - 6)
M = -3/-2
M = 1.5
Since the line is parallel to AB, the slope will also be the same.
Using general linear equation formula
Y = MX + C
Let's find C by substitute X and Y with
( 7, 10)
10 = 1.5(7) + C
Make C the subject of the formula
C = 10 - 10.5
C = - 0.5
Substitute C into the formula
Y = 1.5X - 0.5
Or
Y = 3/2(X) - 1/2
2Y = 3X - 1