Maths-
General
Easy
Question
Find the equation of the given line.
The correct answer is: y = 2x is the equation of the given line
Hint:-
1. The slope of a line can be defined as the change in y coordinates of any 2 points on that line corresponding to the change in the x coordinates of those 2 points. This is generally referred to as the rise to run ratio of the given line i.e. how much did the y-coordinates rise vis - a - vis how long a distance was covered by the x-coordinates. Slope = m = rise / run = y2-y1 / x2-x1.
2. Equation of a line in slope point form-
(y-y1) = m × (x-x1)
Step-by-step solution:-
From the given diagram, we can see that-
rise = increase in the y-coordinates of the given line = 4 units and
run = increase in the x-coordinates of the given line = 2 units
∴ Slope of the given line = m = rise / run
∴ Slope of the given line = m = 4 / 2
∴ Slope of the given line = m = 2
We observe from the given diagram that-
The given line passes through origin (0,0)
i.e. x1 = 0; y1 = 0 and m = 2
Hence, we can use the slope point formula of a line to find the equation of the given line-
(y-y1) = m × (x - x1)
∴ y - 0 = 2 × (x - 0)
∴ y = 2 × x
∴ y = 2x
Final Answer:-
∴ y = 2x is the equation of the given line.
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