# What are the intercepts of the line #2y=-x+1#?

##### 2 Answers

I found:

#### Explanation:

x-intercept:

set

you get:

so

y-intercept:

set

you get:

so

#### Explanation:

The final answers are at parts ( 2 ) and ( 3 )

Before you can determine the intercepts you need to manipulate the equation so that you only have y on the left hand side of the equals sign and everything else on the other side.

To isolate y and still maintain balance multiply both sides by

Step1.

But

Now to find the intercepts:

.*********************

Step2. The graph crosses the x-axis at y=0

Substitute y=0 in (1) giving:

Add

Multiply both sides by 2 giving:

so one of the points where it crosses is at

.*********************** *****

Step3. The graph crosses the y-axis at x=0

Substituting y = 0 in equation ( 1 ) gives:

so the other point where it crosses is at