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Mathematics

The slope and the x-intercept of the line 5x - 5y = 12 are :

  1. slope = 5 and x-intercept = 125\dfrac{12}{5}

  2. slope = -1 and x-intercept = 125\dfrac{12}{5}

  3. slope = 1 and x-intercept = 125\dfrac{12}{5}

  4. slope = -5 and x-intercept = 125\dfrac{12}{5}

Straight Line Eq

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Answer

Given, equation :

⇒ 5x - 5y = 12

⇒ -5y = -5x + 12

⇒ 5y = 5x - 12

⇒ y = 5x5125\dfrac{5x}{5} - \dfrac{12}{5}

⇒ y = x - 125\dfrac{12}{5}

Comparing above equation with y = mx + c (where m is slope and c is the y-intercept), we get :

⇒ m = 1 and c = 125-\dfrac{12}{5}

To find x-intercept of the line, we put y = 0 in above equation:

0 = x - 125\dfrac{12}{5}

⇒ x = 125\dfrac{12}{5}

∴ Slope = 1 and x-intercept = 125\dfrac{12}{5}

Hence, Option 3 is the correct option.

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