Determine from the given points of two lines if the lines are parallel, perpendicular, or neither. Enter your answers below. Use a forward slash (i. e. "/') for all fractions (e. g. 1/2 for 1/2 ). o Line a: (3,1) and (8,6) o Line b: (-6,1) and (2,9)

lines are parallel

Step-by-step explanation:

Parallel lines have equal slopes

The product of the slopes of perpendicular lines is - 1

Calculate the slope m using the slope formula

m =

with (x₁, y₁ ) = 3, 1) and (x₂, y₂ ) = (8, 6)

m = = = 1 ← slope of line a

Repeat with (x₁, y₁ ) = (- 6, 1) and (x₂, y₂ ) = (2,9)

m = = = 1 ← slope of line b

Since both slopes are equal, line a and line b are parallel

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step-by-step explanation: