Question

Determine the intercepts of the line.
Do not round your answers.

−7x−6y=−15

Answer 1

`\sf x-intercept = (15)/(7) \ or \ 2.14\\\\y-intercept = 2.5`

Explanation:

-7x - 6y = -15

At x-intercept, y is 0. So, plugin y = 0 in the above equation and find the value of x.

-7x - 0 = -15

-7x = -15

`x = (-15)/(-7)\\\\\boxed{x=(15)/(7) \ or \ 2.14}`

At - y-intercept, x = 0. So, plugin x = 0 in the above equation and find the value of y.

0 - 6y = -15

`\sf y=(-15)/(-6)\\\\ y =(5)/(2)\\\\\boxed{\bf y = 2.5}`