Find the equation of the line that is perpendicular to y = 2x + 8
1 answer:
Answer:
Step-by-step explanation:
We are given the line y=2x+8. It is in slope-intercept form or y= mx+b, where m is the slope and b is the y-intercept.
The slope of the line is 2.
We want to find the equation that is perpendicular. Perpendicular lines have negative reciprocal slopes.
1. Negate
- Negate the slope, or switch the sign
- (+) 2 --> -2
2. Reciprocal
- Flip the numerator and denominator of the slope.
- -2/1 --> -1/2
The perpendicular slope is -1/2, so the correct equation must be B.
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Given:
The relations are:
{(7,8),(−4,4),(3,8),(−7,−1)}
{(-5, -3), (-1, -8), (-7, 0), (-5, -9)}
{(8,4),(6,−1),(−4,5),(9,4)}
{(8,−3),(4,0),(−4,9),(3,2)}
To find:
The relation that is not a function.
Solution:
A relation is a function if there exist unique y-value for each x-value and a relation is not a function if there exist more than one y-values for any x-value.
In option B, the given relation is:
{(-5, -3), (-1, -8), (-7, 0), (-5, -9)}
Here, and
for
. There exist more than one y-values for
. So, this relation is not a function.
In other three relations, all x-values are different, so there exist unique y-value for each x-value. It means the relations in options A, C and D are functions.
Therefore, the correct option is B.