Question

The table shows linear relashonsips between x and y write an equation in slope intercept form for this relashonsip!!!!!!!!!!!!!!!!!!!!!!!

QUICK PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

`y=-2x+6`

Explanation:

Slope-intercept form is given as
`y=mx+b`, where
`m` is slope and
`b` is the y-intercept.

To find the slope of a line that passes through two points
`(x_1, x_2)` and
`(y_1, y_2)`, use the slope formula:

`m=(\Delta y)/(\Delta x)=(y_2-y_1)/(x_2-x_1)`

Let:

`(x_1, y_1)\implies (1, 4)\\(x_2, y_2)\implies (0, 6)`

The slope of the line that passes through these two points is:

`m=(6-4)/(0-1)=(2)/(-1)=-2`

Now substitute
`m=-2` and any point to solve for
`b`:

`y=mx+b,\\6=-2(0)+b,\\6=0+b,\\b=6`

Therefore, the slope-intercept form of a line that is represented by the table is
`\boxed{y=-2x+6}`