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What is the equation of the line through 1 2 which makes equal intercepts on the axis?

Sagot :

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]

Learn more about equations from

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