Is y= -2/5 x + 3 y=2/5 x +3 parallel ?
2 answers:
Answer: No, y = -2/5x + 3 and y = 2/5x + 3 are not parallel.
Step-by-step explanation:
Generally speaking, parallel lines are lines that do not intersect. This means that they always have the same slope and different y intercepts, like y = 4x + 3 and y = 4x - 5.
On the other hand, perpendicular lines are lines that intersect at 90° angles. They have inverse slopes, or slopes that are the reciprocals of each other. Inverse slopes should be completely opposite to each other, which means flipping the numerator and the denominator and also changing the sign. One example is y = 2x + 4 and y = -1/2 x + 4.
Back to lines y = -2/5x + 3 and y = 2/5x + 3, they are not parallel because they have different slopes and the same y intercept. They are also not perpendicular because their slopes are not the inverses of each other.
You can also tell if the lines are parallel by inserting them into Desmos and seeing how they look. In this case, the lines intersect, and so once again they are not parallel.
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