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

1 Answer
Eivind K.
Nov 7, 2015

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).

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