Find the equation of a straight line passing through (-8,4) and making equal intercepts on the coordinate axes​

Find the equation of a straight line passing through (-8,4) and making equal intercepts on the coordinate axes​

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  1. [tex]\huge \bold\red{❥︎Answer❀✿°᭄}[/tex]

    Equation of a straight lines passing through (-8,4).

    making equal intercept on the co-ordinate axis.

    As we know that,

    Let we assume that x-intercept & y-intercept = t

    equation of line,

    ⇒ x/a + y/b = 1.

    We can write as,

    ⇒ x/t + y/t = 1.

    ⇒ -8/t + 4/t = 1.

    ⇒ -8 + 4 = t.

    ⇒ -4 = t.

    Put the value of t = -4 in equation, we get.

    ⇒ x/-4 + y/-4 = 1.

    ⇒ x + y = -4.

    ⇒ x + y + 4 = 0.

    MORE INFORMATION.

    Equation of straight lines parallel to axes.

    (1) = Equation of x-axis ⇒ y = 0.

    (2) = Equation of a line parallel to x-axes at a distance of b ⇒ y = b.

    (3) = Equation of y-axis ⇒ x = 0.

    (4) = Equation of a line parallel to y-axes and at a distance of a ⇒ x = a.

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