Question

Write an equation of the line that passes through the given point and has the given slope.

Answer 1

The equation of line passes through the point (4, 2) will be;

⇒ y = 12x - 46

What is Equation of line?

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;

The point on the line are (4, 2).

And, The slope = 12

Now,

Since, The equation of line passes through the point ( 4, 2).

And, The slope = 12

Thus, The equation of line with slope 12 is,

⇒ y - 2 = 12 (x - 4)

⇒ y - 2 = 12 (x - 4)

⇒ y - 2 = 12x - 48

⇒ y = 12x - 48 + 2

⇒ y = 12x - 46

Therefore, The equation of line passes through the point (4, 2) will be;

⇒ y = 12x - 46

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