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1 answer:
Answer:
The equation of the line is:
- y = 3x
Step-by-step explanation:
Given the table
x y
0 0
1 3
2 6
3 9
4 12
The slope-intercept form of the line equation
where
- m is the slope
- b is the y-intercept
Taking the two points from the table
- (1, 3)
- (2, 6)
Determining the slope between (1, 3) and (2, 6)
(x₁, y₁) = (1, 3)
(x₂, y₂) = (2, 6)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [6 - 3] / [2 - 1]
= 3 / 1
= 3
Thus, the slope of the line = m = 3
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the table, it is clear
at x = 0, y = 0
Thus, the y-intercept b = 0
now substituting m = 3 and b = 0 in the slope-intercept form of the line equation
y = mx + b
y = 3x + 0
y = 3x
Therefore, the equation of the line is:
- y = 3x
The graph of the line equation y = 3x is also attached.
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The distance from the second destination back to Dallas is 918 miles
<h3>Given</h3>A triangle has points Dallas, destination 1, and destination 2.
The distance from Dallas to destination 1 is 720 miles
The distance from destination 1 and destination 2 is 290 miles
the angle formed between Dallas, destination 1, and destination 2 is 125 degrees.
He moves from destination 1 to Dallas then destination 2
We could use cosine law to find the distance
<h3>What is cosine law?</h3>The Law of cosines or cosine law means the relation between the length of sides of a triangle with respect to the cosine of its angle. It is also called the cosine rule
=
=84100+518400-417600 cos 125
=602500-417600*(-0.5735)
=602500+239493.6
=841993.6
b=917.6 miles
≅918 miles
The distance is 918 miles he will fly from the second destination back to Dallas
Learn more on Distance here:
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