Question

Determine the relationship between the given linear functions:

Line A: 4y - 12x = 20
Line B: 3y = -x + 2

Answer 1

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Answer:

the lines are perpendicular

Explanation:

When both equations are written in standard form, they are ...

y -3x = 5

3y +x = 2

The coefficients in one of these equations are swapped, and one is negated, relative to the coefficients in the other equation. This means the lines are perpendicular (their slopes are opposite reciprocals).

A graph confirms this relationship.