Determine if the two lines are parallel, perpendicular, or neither. Show the work used to get your answer
1 answer:
Answer:
Perpendicular
Step-by-step explanation:
[1] We need to find the slopes of both lines! First, we will put them into standard form and then solve.
Standard form: y=mx+b
(1) 10x + 2y = 4
(subtract 10x from both sides)
2y = -10x + 4
(divide both sides by 2)
y = 5x+2
The slope is 5
(2) 5y - x = -5
(add x to both sides)
5y = x - 5
(divide both sides by 5)
y = x - 1
The slope is one-fifth
[2] Then, we need to determine if they are parallel, perpendicluar, or neither.
- If they are parallel they will have the same slope
- If they are perpendicular they will have exact opposite slopes
() Line 1 has a slope of 5 and line two has a slope of one-fifth. These are exact opposites so the lines are perpendicular.
(I hope this is correct and helped, have a nice day!)
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