12. A is the point with coordinates (1,3) Bis the point with coordinates (-2, -1)
The line L has equation 3y = 4 - 2x
Is line L parallel to AB?
Show your working clearly.

line L is not parallel to AB

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3y = 4 - 2x ( divide terms by 3 )

y = - x ← in slope- intercept form

with slope m = -

Calculate slope of AB using the slope formula

m =

with (x₁, y₁ ) = A(1, 3) and (x₂, y₂ ) = B(- 2, - 1)

= = =

Parallel lines have equal slopes

Since the slopes are not equal then the lines are not parallel

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