Answer:
No
Step-by-step explanation:
Parallel lines have equal slopes.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{1}{2}[/tex] x + 3 ← is in slope- intercept form
with slope m = - [tex]\frac{1}{2}[/tex]
Calculate the slope m of the 2 points using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 7) and (x₂, y₂ ) = (8, 4)
m = [tex]\frac{4-7}{8+4}[/tex] = [tex]\frac{-3}{12}[/tex] = - [tex]\frac{1}{4}[/tex]
Since slopes are not equal then the lines are not parallel.
