Answer:
The y-intercept of function A is greater than the y-intercept of function B.
Explanation:
Hi,
We know the y-intercept is when x=0. For function A, to find the value of y when x equals 0 (also known as the y-intercept), we have to write an equation.
y = mx + b
(m is the slope and b is the y-intercept)
So, pick two points and plugin y and x. Let's choose (-6,-15) and (4,15).
To find slope, we find the change in y over the change in x.
15 - (-15) = 30 (remember if there's a subtraction sign and a negative sign you add)
4 - (-6) = 10
30/10 is equal to 3. Your slope is 3.
Now you know that y = 3x + b.
Plugin any point you want. Let's use (-1,0).
0 = 3(-1) + b
0 = -3 + b
add 3 on both sides...
b = 3
B represents the y-intercept. The y-intercept for function a is 3. 3 is greater than the y-intercept of function b which is 0.
Hope this helps :)
Let me know if you have any questions.