what is the equation of the blue line
Answers
Answer:
The blue line is the translate in the direction of the red line by , and therefore has equation y = 3 ( x − 4 ) + 5 or y = 3 x − 7 .
Answer:
x - 2y + 4 = 0
Step-by-step explanation:
To find:- Equation of the blue line in the graph.
Solution:-
We know that, equation of a straight line is y = mx + c.
In the given figure, the blue line is passing through the co-ordinates (2, 3), (4, 4), (6, 5), (8, 6), (10, 7).
The two point formula for finding equation of a straight line is
Let's take any two point = (6, 5) and = (10, 7)
Putting these two points in the above formula
(y - 5)/(7 - 5) = (x - 6)/(10 - 6)
⇒ (y - 5)/2 = (x - 6)/4
⇒ 4(y - 5) = 2(x - 6)
⇒ 2(y - 5) = x - 6
⇒ 2y - 10 = x - 6
⇒ x - 6 - 2y + 10 = 0
⇒ x - 2y + 4 = 0
Therefore, equation of the blue line in the figure is x - 2y + 4 = 0.
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