Maths-

General

Easy

Question

# Find the equation of the given line . Application

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)

## The correct answer is: ∴ y = 2x is the equation of the given line.

### 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

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