what is the x and y intercepts for y= -x +3 please explain how you get it!

Question

what is the x and y intercepts for y= -x +3 please explain how you get it!

Answer 1

If you draw a straight line on a X and Y axis you will noticed that your line, however you draw it, will cross the X axis and the Y axis. We call these two points the Intercepts! To find these intercepts you will notice two awesome things! First, the point where your line crosses the X axis happens when the Y value it's zero! Also, you will notice that when your line crosses the Y axis the value of X it's zero! So that means that if you want to find the X intercept the value of Y has to be ZERO ALWAYS! And if you want to find the Y intercept the value of X has to be ZERO ALWAYS TOO!

 

Now that we know what we must do, let's do it! 

 

The equation ion of your line it's: y=-X+3

 

Let's find the X intercept!

 

To find it we have to replace the Y with zero and then solve for X:

y=-X+3

0=-X+3

x=3 (you add X on both sides)

DONE!

 

Let's find the Y intercept!

 

To find it we have to replace the X with zero and then solve for Y:

y=-X+3

y=-0+3

y=3

DONE!

 

So the X intercept it's 3 and the Y intercept it's 3!

 

 

Answer 2

The x-intercept is the point on the x-axis and has a y coordinate of zero.

The y-intercept is the point on the y-axis and has an x coordinate of zero.

 

 

x-intercept:

 

0 = -x + 3

 

-3 = -x

 

3 = x

 

x-intercept is (3, 0)

 

 

y-intercept is (0, 3).