Determine if the given lines are parallel, perpendicular, or neither. y = 3/4 x

Question

Determine if the given lines are parallel, perpendicular, or neither. y = 3/4 x + 6 3x - 2y = - 3 4x + 2 = 3y 8y + 3 = -6x 3x - 4y = 6 6x - 8y = 16 Find the equation of the line that: Is parallel to y = 3x - 2 that passes through the point (-1, 3). Is perpendicular to the line 2x + 4y = 8 and passes through the point (1, -3). Passes through the point (6, 8) and is parallel to the line that passes through the points (2, 5) and (-1, -4) Passes through the point (-1, 3) and is perpendicular to the line that passes through the pts (-2, 1) and (4, 3).

Explanation / Answer

1)
y = 3/4 * x + 6
slope, m1 = 3/4

3x-2y = -3
2y = 3x + 3
y = (3/2)x + 3/2
slope ,m2 = 3/2

m1 ! = m2 so, they are not parallel
m1*m2 != -1, so they are not perpendicular
Answer: Neither

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