Question

Determine if the two lines are parallel, perpendicular, or neither. Show the work used to get your answer

Answer 1

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 = $\frac{1}{5}$ 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!)