Question

The line 5y−6x−10=0 is given.What are the x- and y-intercepts of the graph of this equation?

Answer 1

Explanation:

Step 1: Find the x-intercepts

To find the x-ints, you need to set y equal to 0

`5(0) - 6x - 10 = 0`

`-6x - 10 + 10 = 0 + 10`

`-6x = 10`

`-6x / -6 = 10 / -6`

`x = -5/3`

Step 2: Find the y-intercepts

To find the y-ints, you need to set x equal to 0

`5y - 6(0)-10=0`

`5y - 10 + 10 = 0 + 10`

`5y / 5 = 10 / 5`

`y=2`

Answer: The x-int is (-5/3, 0) and the y-int is (0, 2)