# Can you tell me the x-intercept and the y-intercept of the equation:y=5-2x? Also, how can I complete the table? x:1 2 3 4 5 y:? ? ? ? ?please help

*print*Print*list*Cite

### 5 Answers

The equation of a line with x-intercept a and y-intercept b is x/a+y/b = 1

Write the equation of the line given in this form.

y=5-2x

y + 2x = 5

y/5 + (2x)/5 = 1

y/5 + x/(5/2) = 1

This gives the x-intercept as 5/2 and y-intercept as 5

The x and y values are related by y = 5 - 2x

For the given values of x, the corresponding values of y are:

1, 5 - 2*1 = 3

2, 5 - 2*2 = 1

3, 5 - 2*3 = -1

4, 5 - 2*4 = -3

5, 5 - 2*5 = -5

make the x 0 to get the y intercept

y = 5 - 2(0)

y = 5

now substitute 0 as y to get the x intercept

0 = 5 -2x

2x = 5

divide by 2

x = 2.5 or 5/2

x:1 2 3 4 5 y:? ? ? ? ?

just plug in the numbers in the x column into the equation to get the Ys

x=1 means y= 5-2(1) so y is 3

just keep repeating the step and so on

To get y-intercept, sub x=0 to equation y=5-2x to get** y=5 **(equilavent to c in y=mx t c)

To get x-intercept, do the same thing. Sub y=0 to get

0= 5-2x

-5=-2x

**x=2.5**

For the table, just sub all the x values into the equation

**For x=1, y= 5-2(1)=3**

**For x=2, y= 5-2(2)= 1**

**For x=3, y= 5-2(3) = -1**

**For x=4, y= 5-2(4) = -3**

**For x=5. y= 5-2(5)= -5**

y=5-2x.

To get y intercept, put x=0 inthe equation.

y=5-2*0 = 5, **5 is the y intercept **of the given line.

To get x intercept of the line put y=0 in the eq. of the line.

0= 5-2x. or 2x=5 or x=5/2. **5/2 is x intercept.**

Substitute x =1 in the equation to get y value whenx is one:

y=2-5***1** =** -3**

Similarly put x=2, 3,4 and 5:

y=2-5***2** = **-8**

y=2-5***3** = **-13**

y=2-5***4** = -**18**

y=2-5***5 **= **-23**

Hope this helps.

For finding x-intercept, you need to substitute the value of y as zero in the given equation y=5-2x.

Similarly, For finding y-intercept, you need to substitute the value of x as zero in the given equation y=5-2x.

In the table, it is asked to find the different value of y-intercepts for the given valuyes of x 1, 2, 3, 4 and 5.

Put the values of x as 1,2,3,4 and 5 and find the relevant y values for them. fill the tabel.So simple!

I suggest this link to you.you will be clear in ypour basic then.All the Best!

http://www.examville.com/materialListForGivenSubCategory.html?subCategoryId=254