Question

Can someone help me answer (b)? Thanks! :)

Answer 1

No

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 = -
`(1)/(2)` x + 3 ← is in slope- intercept form

with slope m = -
`(1)/(2)`

Calculate the slope m of the 2 points using the slope formula

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

with (x₁, y₁ ) = (- 4, 7) and (x₂, y₂ ) = (8, 4)

m =
`(4-7)/(8+4)` =
`(-3)/(12)` = -
`(1)/(4)`

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