Question

12. A is the point with coordinates (1,3)

Answer 1

Answer:

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 = $\frac{4}{3}$ - $\frac{2}{3}$ x ← in slope- intercept form

with slope m = - $\frac{2}{3}$

Calculate slope of AB using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

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

$m_{AB}$ = $\frac{-1-3}{-2-1}$ = $\frac{-4}{-3}$ = $\frac{4}{3}$

Parallel lines have equal slopes

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