Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
Equation of a line is given as 
Where,
m = slope of the line = 
b = y-intercept, which is the value at the point where the line intercepts the y-axis. At this point, x = 0.
Let's find m and b to derive the equation for the line.
Use the coordinate pair of any two points on the line. Let's use the following,
=> on the line, when x = 0, y = -2
=> on the line, when x = 4, y = 1
Plug in the values and solve for m
b = -2 (the line intercepts the y-axis at this point)
Our equation would be =>
Step-by-step explanation:
csc x / (cot x + tan x)
Write in terms of sine and cosine.
(1 / sin x) / [(cos x / sin x) + (sin x / cos x)]
Multiply top and bottom by sin x.
1 / [cos x + (sin²x / cos x)]
Multiply top and bottom by cos x.
cos x / (cos²x + sin²x)
Use Pythagorean identity.
cos x / 1
cos x
Line is different from line segment or a ray. The given lines MR and XY are best described by: Option A: The lines intersect at a 90° angle.
To get to know about intersection of MR and XY, we need to know what a line is.
<h3>What is line, line segment and a ray?</h3>
- A line usually refers to infinite lenghted straight line in the Euclidean space.
- A line segment is a segment (of finite length) of a line.
- A ray is has fixed on endpoint, but it extends infinitely from the other endpoint, so no other endpoint at all.
<h3>When does two lines intersect?</h3>
If they are not parallel (having 0 degree angle between each other) and not coincident (not lying over each other), then those two lines always intersect.
Since the considered lines MR and XY are said to be perpendicular (having 90° angle between them, thus, they will intersect each other).
Therefore, the given lines MR and XY are best described by: Option A: The lines intersect at a 90° angle.
Learn more about angle between two lines here:
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