Answer:
So the y-intercept is 10.
Step-by-step explanation:
So your table doesn't out right say the y-intercept. If it did it would be (x=0,y=something).
So let's see if this is linear. I'm going to see if we have the same rise/run ratio per pair of points as shown in the attachment:
These ratios are all the same -6/3 = -2/1 = -4/2 = -6/3 . These are all equal to -2.
So this is a line.
Linear equations in the form y=mx+b is called slope-intercept form where m is the slope and b is the y-intercept.
We just found m to be -2.
So our equation is now in the form y=-2x+b.
We can find b, the y-intercept, by using a point on this line. I like (4,2) from the table.
(x,y)=(4,2) with y=-2x+b will give us the information we need to find b.
2=-2(4)+b
2=-8+b
2+8=b
10=b
b=10
So the y-intercept is 10.
