Question

Are these two line parallel to each other??

Answer 1

No

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 =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (2,4) and (x₂, y₂ ) = (4, 12) ← 2 ordered pairs from the table

m =
`(12-4)/(4-2)` =
`(8)/(2)` = 4

Parallel lines have equal slopes

The slope of these 2 lines are not equal , thus not parallel