Answer:
4
(We didn't even need to use (9,6) )
Explanation:
The slope-intercept form a line is y=mx+b where m is the slope and b is the y-intercept.
We are given the line we are looking for has the same y-intercept as x+2y=8.
So if we put x+2y=8 into y=mx+b form we can actually easily determine the value for b.
So we are solving x+2y=8 for y:
x+2y=8
Subtract x on both sides:
2y=-x+8
Divide both sides by 2:
y=(-x+8)/2
Separate the fraction:
y=(-x/2)+(8/2)
Reduce the fractions (if there are any to reduce):
y=(-x/2)+4
Comparing this to y=mx+b we see that b is 4.
So the y-intercept is 4.
Again since we know that the line we are looking for has the same y-intercept, then the answer is 4 since the question is what is the y-intercept.
4