Write the equation of the line. Giving Brainliest to the fastest and most explanatory answer!

The equation of line shown in figure is,

⇒ y = x - 4

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (4, 0) and (0, -4).

Now,

Since, The equation of line passes through the points (4, 0) and (0, -4).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 4 - 0) / (0 - 4)

m = - 4 / -4

m = 1

Thus, The equation of line with slope 1 is,

⇒ y - 0 = 1 (x - 4)

⇒ y = x - 4

Therefore, The equation of line is,

⇒ y = x - 4

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