How do I make a table from slope-intercept equation 4x+2y=4 showing X and Y

Question

asked Sep 11, 2021 202k views

1 Answer

Cmxu · Answer 1 · 2021-09-14T22:31:01+0000

Answer:

see the explanation

Explanation:

we have

4x+2y=4 ----> equation of the line in standard form

Convert to slope intercept form

y=mx+b

Isolate the variable y

Subtract 4x both sides

2y=-4x+4

Divide by 2 both sides

y=-2x+2

To make a table assume different values of x and substitute in the equation to solve for y

For x=-2 ---->
y=-2(-2)+2=6

For x=-1 ---->
y=-2(-1)+2=4

For x=0 ---->
y=-2(0)+2=2

For x=1 ---->
y=-2(1)+2=0

For x=2 ---->
y=-2(2)+2=-2

The table is

$\left[\begin{array}{ccc}x&y\\-2&6\\-1&4\\0&2\\1&0\\2&-2\end{array}\right]$