Answer:
Step-by-step explanation:
Initial value ( y - value) for Function A is 12.
For B its 3(-1) + 2 = -1 so the answer is Function A.
Answer:
Find 'Function A's linear equation by using point-slope formula;
Where y1 = your first y-coordinate in any pair, and x1 = your first x-coordinate in the following pair used for the y-coordinate, and lastly m = slope.
But, we do not have the slope so we use the formula to find the slope(rise/run) of any two random points;
y2(second y-coordinate) - y1(first y-coordinate)
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x2(second x-coordinate) - x1(first x-coordinate)
We plug in these values using any two ordered pairs, so I'll just use (-1,12) and (0,8).
12 - 8 4
_____ = ______ = -4/1 or -4 is the slope, so now we utilize this slope into
-1 - 0 -1
our point slope formula:-
y - y1 = m(x - x1)
For this, we just use one arbitrary pair, I'll use (-1,12).
So,
y - 12 = -4(x - (-1))
simplify
y - 12 = -4x - 4
isolate y by adding 12 to both sides (inverse operation of subtraction is addition)
+12 +12
y = -4x + 8, is the function for A.
Now let's compare the y-intercepts of both of these functions because we want to see which one has the greatest initial value.
Function A: y = -4x + 8, 8 is the y-intercept in this case.
Function B: y = 3x + 2, 2 is the y-intercept in this case.
Compare;
8 > 2, therefore Function A has a greater initial value.