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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