Question

How do you write the equation of a line in slope intercept form looking at a table?​

Answer 1

Slope-intercept form:
`y=mx+b` where m is the slope and b is the y-intercept

1) Determine the slope (m)

To find the slope, take two points from the table,
`(x_1,y_1)` and
`(x_2,y_2)` and plug them into the following equation to solve for m:

`m=(y_2-y_1)/(x_2-x_1)`

Plug m into
`y=mx+b` .

2) Determine the y-intercept (b)

Take any point given in the table and plug them into
`y=mx+b` (along with the slope that you solved for earlier) as
`(x,y)`. Solve for b. Plug b back into
`y=mx+b` along with the slope.

I hope this helps!