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.
You might be interested in
In the slope intercept form, b represents the y intercept.
y = mx +- b
Therefore, if the y intercept is at 6, the formula of the line will look like
<span>y=mx + 6
</span>
This eliminates the first two options,
and
and leaves behind
and
Since the line you indicated is sloping downwards towards the lower right hand corner. It must have a negative slope.
Therefore, the answer must be the 3rd option.
<span>
</span>
y = mx +- b
Therefore, if the y intercept is at 6, the formula of the line will look like
<span>y=mx + 6
</span>
This eliminates the first two options,
and
and leaves behind
and
Since the line you indicated is sloping downwards towards the lower right hand corner. It must have a negative slope.
Therefore, the answer must be the 3rd option.
<span>