a line is perpendicular to y=4x-2 and intersects the point (4,-11). what is the equation of this perpendicular line?
1 answer:
Answer:
y = -1/4x - 10
Step-by-step explanation:
<em>Hey there!</em>
<em />
Well to the slopes of 2 perpendicular lines are reciprocals of each other meaning if the line has a slope of 4 then it’s perpendicular line has a slope of -1/4.
Now to find the y intercept we need to graph,
y = -1/4x and point (4, -11)
Look at the image below.
By looking at the image below we can tell that in order for the perpendicular line to go through point (4,-11) it would be -10.
The equation is y = -1/4x - 10
<em>Hope this helps :)</em>
You might be interested in
Answer:
A) False
B) False
Step-by-step explanation:
A. Two angles whose measures add up to 90° are said to be complementary, while two angles are adjacent when formed beside each other. So, adjacent angles might be complementary or supplementary. Thus, the answer to the first part of the question is false.
B. When two angles share a side, they are said to be adjacent to each other. But supplementary angles add up to . Since adjacent angles might be complementary or supplementary, then the answer to the second part of the question is false.
Answer:
<h2>The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles.</h2>Step-by-step explanation:
According to the graph, the dependent variable is Distance in miles, because it's on the vertical axis. Additionally, the independent variable is time in hours, because it's on the horizontal axis. However, you always put time as independent, because nothing affects time.
To find the equation, we just need to find the slope, using two points (0,0) and (2,40).
Therefore, the equation is , which shows a direct proportion between variables.
Now, in 24 hours, it would travel
It would travel 480 miles.
Therefore, the right answer is the second choice.