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# A line passes through point (3, 1) and has slope = -2/3. Find its equation .Application

Hint:

### Equation of a line in slope point form-

(y-y1) = m × (x-x1)

## The correct answer is: ∴ y = -2/3 x + 3 is the equation of the given line.

### Step-by-step solution:-

As per given information-

The given line passes through the point (3,1) and has a slope of -2/3.

∴ x1 = 3, y1 = 1 & m = -2/3

Using Slope point form of a line, we can find the equation of the given line as-

(y-y1) = m × (x-x1)

∴ y - 1 = -2/3 × (x - 3)

∴ y - 1 = -2/3 x - (-2/3) × 3

∴ y - 1 = -2/3 x - (-2)

∴ y - 1 = -2/3 x + 2

∴ y = -2/3 x + 2 + 1

∴ y = -2/3 x + 3

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