A line passes through A(6,5) and B(4,2) find equation of a line parallel to AB and passes through (7,10)

2Y = 3X - 1

Step-by-step 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