Question

What are the x and y intercepts of the equation 10x - 2y = 44 ?

Answer 1

It would be x-intercept 22/5,0 and y-intercept 0-22

Answer 2

For this case, we have that by definition, if we want to find the intersection with the "x" axis of the line described by the given equation, we must do y = 0 and clear the value of "x". On the contrary, if we want to find the intersection with the "y" axis of the line described by the given equation, we must do x = 0 and clear the value of "y". Then:

Intersection with "x" axis:

`10x-2 (0) = 44\\10x = 44`

`x = \frac {44} {10}` that in a simplified way, can be written as:

`x = \frac {22} {5}`

Intersection with "y" axis:

`10 (0) -2y = 44\\-2y = 44\\y = \frac {44} {- 2}\\y = -22`

So,
`x-intercept: (\frac {22} {5}, 0)\\y-intercept: (0, -22)`

Answer:

`x-intercept: (\frac {22} {5}, 0)\\y-intercept: (0, -22)`