Hello!
To find the line perpendicular to the given line, y = 2x + 3, firstly, find the slope of the perpendicular line. To find it, use this format: -1/m, where m is the slope. It is also called the "negative reciprocal" of the slope of the given line.
Then, you substitute an ordered pair into a new slope-intercept equation (with the slope) and find the y-intercept.
-1/m when m = 2 → -1/2
y = -1/2x + b (substitute the given ordered pair)
-3 = -1/2(2) + b (simplify)
-3 = -1 + b (add 1 to both sides)
-2 = b | The y-intercept of the perpendicular equation is -2.
Therefore, the line perpendicular to the given equation, that also goes through the given ordered pair is y = -1/2x - 2.
We literally just learned that lol what are u needing help on with it
Answer:
7k + 2
Step-by-step explanation:
(4k + 1) + (3k + 1) =
4k + 3k + 1 + 1 =
7k + 2
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-Chetan K
Using it's concepts, we have that:
- The domain of the relation is of -2 ≤ x ≤ -1.
- The range of the relation is of -2 ≤ y ≤ 2.
- Since each value of the input is mapped to only one value of y, it is a function.
<h3>
What are the domain and the range of a relation?</h3>
- The domain of a relation is the set that contains all possible input values for the relation. In a graph, it is given by the values of x.
- The range of a relation is the set that contains all possible output values for the relation. In a graph, it is given by the values of y.
Hence:
- The domain of the relation is of -2 ≤ x ≤ -1.
- The range of the relation is of -2 ≤ y ≤ 2.
<h3>When does a relation represents a function?</h3>
A relation represents a function when each value of the input is mapped to only one value of the output.
From this graph, we have that <u>each value of x is mapped to only one value of y</u>, that is, there are no vertically aligned points, hence the relation is a function.
More can be learned about relations and functions at brainly.com/question/12463448
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