Answer:
The y-intercept of Function A is GREATER than the y-intercept of Function B
Step-by-step explanation:
First we need to find the y-intercept for Function A and B
To find the y-intercept we need to get the graph into slope-intercept form
(Which is y=mx+b with "m" being slope and "b" being y-intercept)
First we need to find the slope or "m":
The formula for slope is m= y2-y1/x2-x1
We can use the points from Function A as our x1, x2, y1, and y2
I will use (1,9) and (2,13) as they are the easiest
Since (1,9) is more above the graph it is the x1 and y1
With (2,13) being x2 and y2
13-9/2-1
Which is 4
Thus the slope is 4
The equation now looks like this:
y=4x+b
Now we need to find the y-intercept, and to do that we will need to substitute one of the points (their x and y values)
Using (1,9) we can substitute the x and y with 1 and 9
9=4+b
Subtract 4 on both sides:
5=b
Thus the y-intercept is 5
Now that we know the y-intercept of Function A we will need to find the y-intercept for Function B
To find the y-intercept we just need to find the number ON THE Y-AXIS (And with x=0) that the line intercepts to.
From the graph we can see that 2 is on the y-axis that the line intercepts, thus 2 is the y-intercept
Since 5 is greater than 5 The y-intercept of Function A is greater than the y-intercept of Function B
Hope this helps!
