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Mathematics

The equation of a line with x-intercept 7 and y-intercept -7 is :

  1. x - y = 7

  2. y - x = 7

  3. x + y + 7 = 0

  4. x + y = 7

Straight Line Eq

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Answer

By intercept form,

Equation of line : xa+yb=1\dfrac{x}{a} + \dfrac{y}{b} = 1

Given,

x-intercept (a) : 7

y-intercept (b) : -7

Substituting values in equation, we get :

x7+y7=1x7y7=1xy=7.\Rightarrow \dfrac{x}{7} + \dfrac{y}{-7} = 1 \\[1em] \Rightarrow \dfrac{x}{7} - \dfrac{y}{7} = 1 \\[1em] \Rightarrow x - y = 7.

Hence, Option 1 is the correct option.

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