Question

Please help me if you can :) i gave as many points as i could.

Answer 1

see explanation

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

(6)

Given

4x - 2y = 8 ( subtract 4x from both sides )

- 2y = - 4x + 8 ( divide all 3 terms by - 2 )

y = 2x - 4 ← in slope- intercept form

with slope m = 2

Parallel lines have equal slopes, thus

Slope of parallel line is m = 2

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(7)

Given

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

with slope m =
`(2)/(3)`

Given a line with slope m then the slope of a line perpendicular to it is

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/((2)/(3) )` = -
`(3)/(2)`

Answer 2

6. 2

7. (-3/2)

Explanation:

6. 4x - 2y = 8

-4x -4x

-2y = -4x + 8

y = 2x + 4

y = 2/3x + 1

reciprocal of 2/3 is -3/2