The equation of the line through (1 , 2), which makes equal intercepts on the axes, is
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EXPLANATION.
Equation of line through (1,2) makes an equal intercept.
As we know that,
Formula of the intercept form.
⇒ x/a + y/b = 1.
both makes equal intercept.
⇒ a = b.
⇒ x/a + y/a = 1.
⇒ x + y = a.
Put the value of Co-ordinates in axis, we get.
⇒ 1 + 2 = a.
⇒ a = 3.
Put the value in the equation, we get.
⇒ x + y = 3.
MORE INFORMATION.
Different forms of the equation of straight line.
(1) = Slope : Intercept form : y = mx + c.
(2) = Slope point form : The equation of a line with slope m and passing through a point (x₁, y₁) is : (y - y₁) = m(x - x₁).
(3) = Two point form : (y - y₁) = (y₂ - y₁)/(x₂ - x₁) (x - x₁).
(4) = Intercept form : x/a + y/b = 1.
(5) = Normal (perpendicular) form of a line : x cosα + y sinα = p.
(6) = Parametric form (distance form) : (x - x₁)/cosθ = (y - y₁)/sinθ = r.
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