Answer:
7
Step-by-step explanation:
(+8)-(-4)+(-5)
8+4-5
12-5
7
→ a
the equation is y = mx ( where m is the slope / constant of variation )
calculate m using the gradient formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁) = (0, 0 ) and (x₂, y₂ ) = (4, 1) ← 2 points on the line
m =
= 
Do you by any chance have a photo of the problem?
Answer:
C
Step-by-step explanation:
original formula is: y - y1 = m (x - x1) ordinates= (x1, y1)
insert the a corresponding x and y coordinate:
y + 3 = -2 (x + 9)
Don't forget to change the signs depending on whether their positive or negative:
(3, -9) since 3 is positive but there is a minus in the formula it would be -3
since -9 is negative and in the equation there's a minus sign you would change it to positive. (negative times a negative equals a positive)
If one of our zeros is 4, then the factor is x-4. If the second zero is 5i, then the conjugate root theorem says there HAS to be a root that is -5i. So our 3 factors are (x-4)(x+5i)(x-5i). We will FOIL out these factors to get the polynomial. Let's start with the ones that contain the imaginary numbers. Doing that mutliplication we get x^2-25i^2. i^2 is equal to -1, so what that expression simplifies down to is

. Now we will multiply in that last factor of (x-4):

. FOILing out we have

. There you go!