find the equation of the linear function represented by the table below in slope-intercept form. picture of table is below

y = 3x+1

Step-by-step explanation:

Well, slope intercept form is y =mx+b, and to find the slope, you have to take two of the examples for y, and divide it by 2 examples of the x, like so:

7- (-5) / 2- (-2) which is 12/4 which is 3, so the slope is 3.

we now can make the first part of the equation:

y = 3x + b

Now we just need "b". To find b, just substitute the x and y values for two values shown on the chart, such as -2 and -5. (They have to be on the same row).

-5 = 3x-2 + b

you get:

-5 = -6+b

which is equal to:

b = 1

So, putting b back in the equation, you get:

y = 3x+1