determine the y intercept in the slope intercept form of an equation y=mx+b given a table x:4,6,8 y: 10,12,14​

Explanation:

Let's use the first two rows of the table to find the slope

m = slope

m = rise/run

m = (change in y)/(change in x)

m = (y2-y1)/(x2-x1)

m = (12-10)/(6-4)

m = 2/2

m = 1

The slope is 1.

Now let's use the first row of the table, along with the slope we just found, to plug into y = mx+b. The goal is to find b.

y = mx+b

10 = 1*4+b

10 = 4+b

10-4 = b

6 = b

b = 6

The y intercept is 6.

The y = mx+b equation is y = 1x+6 which is the same as y = x+6

25/6

step-by-step explanation:

you multiply 4 by the denominator (4*6=24) and add it to the numerator which makes it 25/6.