Question

How do you find the intercepts for `y=-2x+5`?

Answer 1

x-axis: (2.5 , 0)
y-axis: (0 , 5)

Explanation:

Since this is a linear function with a form `y = ax + b`, it is only intercepting the x-axis and y-axis once.

How to solve interception with x-axis:
Here you know that y = 0, and this gives you
`y = -2x + 5`
`0 = -2x + 5`
`2x = 5`
Divide both by two
`x = 2.5`

How to solve interception with y-axis:
Here you know that x = 0, and this gives you:
`y = -2x + 5`
`y = -2 * 0 + 5`
`y = 5`

Therefore, you get interception points at (2.5 , 0) and (0 , 5).