Question

Answer the question in the picture

Answer 1

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!