Answer:
see explanation
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 )
(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 = [tex]\frac{2}{3}[/tex] x + 1 ← in slope- intercept form
with slope m = [tex]\frac{2}{3}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{3} }[/tex] = - [tex]\frac{3}{2}[/tex]
