Question

Which x-value on the line y=5x−6 is closest to the point (0,2)?

A) −1
B) 0
C) 1
D) 2

Answer 1

The x-value on the line y=5x−6 that is closest to the point (0,2) is 0.

Step-by-step explanation:

To find the x-value on the line y=5x−6 that is closest to the point (0,2), we need to calculate the distance between the point and each of the given x-values. The distance formula is d=|x-x1|, where x1 is the x-coordinate of the point. Plugging in the values, we get:

1. For x = -1: d = |-1-0| = 1
2. For x = 0: d = |0-0| = 0
3. For x = 1: d = |1-0| = 1
4. For x = 2: d = |2-0| = 2

So, the x-value on the line that is closest to the point (0,2) is 0.