Question

Can somebody help me with (a) and (b)? Thanks! :D

Answer 1

see explanation

Explanation:

Since the lines are parallel they have the same slopes

Calculate the slope of line m using the slope formula

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

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (2, 7) ← 2 points on the line

m =
`(7-6)/(2-0)` =
`(1)/(2)`

Note the line crosses the y- axis at (0, 6) ⇒ b = 6

Thus

y =
`(1)/(2)` x + 6 ← equation of line m

Note for line n the line crosses the y- axis at (0, - 3) ⇒ b = - 3

Thus

y =
`(1)/(2)` x - 3 ← equation of line n

Answer 2

PART A:

Line m: 1/2x + 6

Line n: 1/2x - 3

PART B:

The slope is the same in both lines