I need to find out what is the meaning of a slope ?
2 answers:
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Answer as an inequality:
Answer in interval notation: [2, 7]
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Explanation:
The range is the set of all possible y outputs of a function.
The lowest point occurs when y = 2
The highest point occurs when y = 7
The range is the set of every y value between 2 and 7, including the endpoints.
The range as an inequality is
It is equivalent to [2, 7] in interval notation. The square brackets include each endpoint.
Given:
The equation of a line is:
A line is parallel to the given line and passes through the point (3,-4).
To find:
The equation of the line in the slope intercept form.
Solution:
The slope intercept form of a line is:
...(i)
Where, m is the slope and b is the y-intercept of the line.
We have,
...(ii)
On comparing (i) and (ii), we get
Slope of the given line is 1.
We know that the slopes of parallel lines are equal. So, the slope of the required line is 1.
The required line passes through the point (3,-4) with slope 1. So, the equation of the required line is:
Subtracting 4 from both sides, we get
Therefore, the equation of the required line is .