Answer:
Line SW has a undefined slope
Line TV has a slope of 0
Lines RS and TV are parallel
Step-by-step explanation:
Verify each statement
Part 1) Line RS has a slope of 6
The statement is false
Because, line RS is a horizontal line (is parallel to the x-axis)
so
The slope of line RS is equal to zero
Verify
we have
R(-8,6) and S(2,6)
Applying the formula of slope
m=(6-6)/(2+8)
m=0/10=0
Part 2) Line SW has a undefined slope
The statement is true
Because, line SW is a vertical line (is parallel to the y-axis)
The slope of a vertical line is undefined
Verify
we have
S(2,6) and W(2,-8)
Applying the formula of slope
m=(-8-6)/(2-2)
m=-14/0 -----> is undefined
Part 3) Line TV has a slope of 0
The statement is true
Because, line TV is a horizontal line (is parallel to the x-axis)
so
The slope of line TV is equal to zero
Verify
we have
T(-6,-4) and V(8,-4)
Applying the formula of slope
m=(-4+4)/(8+6)
m=0/14=0
Part 4) Lines RS and TV are parallel
The statement is true
Because, line RS and line TV are horizontal lines (are parallel to the x-axis)
Remember that if two lines are parallel, then their slopes are the same.
Both slopes are equal to zero
Part 5) Line SW is perpendicular to line RS but no to line TV
The statement is false
Because, Line SW is perpendicular to line RS and line TV
(A horizontal line is perpendicular to a vertical line. so it would have to be perpendicular to both RS and TV)
