Is y=-3x-8 perpendicular, parallel, or neither?

1 answer:

3 0

Y=-3x+8 is not parallel nor perpendicular to y=3x+8.
Thus, it is neither.
If one line is parallel to another line, then they will both have the same slope (the coefficient next to the x).
For instance, y=5x+8 is parallel to y=5x-4.
If one line is perpendicular to another line, then the slopes must be negative reciprocals of one another (reciprocals multiply together and yield one, like 1/3 and 3.)
A parallel line to y=-3x-8 would be y=-3x
A perpendicular line to y=-3x-8 would be y=1/3x
Since the line we are comparing y=-3x-8 to, which is y=3x+8, meets neither of the constraints for being parallel or perpendicular, the correct answer is neither.

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Answer:

Step-by-step explanation:

The discriminant is what's under the square root sign in the quadratic equation. The equation for the discriminant is $b^{2}-4ac$ , where b is the coefficient of x, a is the coefficient of $x^{2}$ , and c is the number with no variable attatched to it. If we plug in the numbers ( $17^{2} -4*4*3$ ) it gives you 241, which is the discriminant. Since 241 is more than zero, it has 2 zeros. If the discriminant was 0, there'd be 1 zero, and less then zero there would be zero zeros.