The equation of the line through [tex](1,2)[/tex] which make equal intercepts on the axis [tex]x+y=3[/tex]
The equation of the line through (1,2) makes an equal intercept on the axis
The formula of the intercept form is
[tex]\frac{x}{a} +\frac{y}{b} =1[/tex]
If they make an equal intercept
[tex]a=b\\\frac{x}{a} +\frac{y}{a} =1\\x+y=a[/tex]
Put the value of the point in the axis, and we get.
[tex]1+2=a\\a=3[/tex]
Put the value in the equation, and we get.
[tex]x+y=3[/tex]
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