are these two line parallel to each other??
![are these two line parallel to each other class=](https://us-static.z-dn.net/files/d2d/3432682806938dfb8d09400cd6b48de7.png)
Answer:
No
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 )
y = 3x + 1 ← is in slope- intercept form
with slope m = 3
Calculate the slope using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2,4) and (x₂, y₂ ) = (4, 12) ← 2 ordered pairs from the table
m = [tex]\frac{12-4}{4-2}[/tex] = [tex]\frac{8}{2}[/tex] = 4
Parallel lines have equal slopes
The slope of these 2 lines are not equal , thus not parallel