The slope intercept form is y = -x - 4
To find the slope intercept form given a couple of points, start by finding the slope using the slope equation.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-5 - 0)/(1 - -4)
m = -5/5
m = -1
Now we look for the intercept using slope intercept form, our slope and a point.
y = mx + b
0 = -4(-1) + b
0 = 4 + b
-4 = b
Now we can use those two things top model the equation.
y = -x - 4
Answer:
67
Step-by-step explanation: Given the quadratic equation $z^2 + bz + c = 0$, Vieta's formulas tell us the sum of the roots is $-b$, and the product of the roots is $c$. Thus,
\[-b = (-7 + 2i) + (-7 - 2i) = -14,\]so $b = 14.$
Also,
\[c = (-7 + 2i)(-7 - 2i) = (-7)^2 - (2i)^2 = 49 + 4 = 53.\]Therefore, we have $b+c = \boxed{67}$.
There are many other solutions to this problem. You might have started with the factored form $(z - (-7 + 2i))(z - (-7 - 2i)),$ or even thought about the quadratic formula.
This is the aops answer :)
Answer:
initial value opposite value absolute value
15 -15 |15|
-93 93 |93|
56 -56 |56|
-87 87 |87|
Step-by-step explanation:
