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

Nov 7, 2015

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

#### Explanation:

Since this is a linear function with a form $y = a x + b$, 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
$y = - 2 x + 5$
$0 = - 2 x + 5$
$2 x = 5$
Divide both by two
$x = 2.5$

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

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