Question

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

Options

• slope = 5 and x-intercept = `12/5`

• slope = −1 and x-intercept = `12/5`

• slope = 1 and x-intercept = `12/5`

• slope = −5 and x-intercept = `12/5`

Answer 1

Slope = 1 and x-intercept = `bb(12/5)`

Explanation:

Given, equation:

⇒ 5x − 5y = 12

⇒ −5y = −5x + 12

⇒ 5y = 5x − 12

⇒ y = `(5x)/5 −12/5`

⇒ y = `x - 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 = `−12/5`

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

0 = `x - 12/5`

⇒ x = `12/5`

∴ Slope = 1 and x-intercept = `12/5`