Answer:
8
Step-by-step explanation:
So the y-intercept is not given by your table because there is no x that is listed as 0.
But don't fret; we can still find it.
Let's see if the function is linear by seeing if we have the same slope per two points in the table.
For the first pair ( the points (-2,16) and (1,4) ), x increased by 3 and the y decreased by 12 so the slope there is -12/3=-4.
Now looking at the next pair ( the points (1,4) and (2,0) ), x increased by 1 while y decreased by 4 so the slope is -4/1=-4.
So the function appears to be linear.
So the slope-intercept form of a line is y=mx+b where m is slope and b is y-intercept.
We already found the slope from earlier which is m=-4.
So the equation so far is y=-4x+b.
Now to find b, the y-intercept, we need to use a point (x,y) on the line along with y=-4x+b.
Let's see my favorite on the list of points is (2,0).
y=-4x+b with (x,y)=(2,0)
0=-4(2)+b
0=-8+b
8=b
So the y-intercept is 8.
