set the equation of the function to y=kx+b
Slope = 3/4 means k=3/4
we get: y = 3/4x+b
plug (-4,-5) to the function
-5=-3+b
b=-2
so: y = 3/4x-2
Since it says the line will be parallel to that, keep 2x-3y and replace -6 with a variable.
Like this: 2x-3y=c
Replace x and y with the x and y values from (1,-2)
2(1)-3(-2)=c
Solve for c
2+6=c
8=c
Now, replace c in 2x-3y=c with 8:
2x-3y=8 is the answer
Answer:
See below
Step-by-step explanation:
I will assume the given denominator is 3a as there is nothing attached to the statement.
Lets first look at the domain of 2a+b. As it is a polynomial with unknowns a and b, we know it has its domain in all real numbers for both a and b as every polynomial does. For verifying it replace a and b by any real number you can think of.
Domain = a, b belonging to R
Now, if we divide 2a+b by 3a we will have:
(2a+b)/3a
As know we don not have a polynomial we cant state that the domain will still be all the real numbers for sure. We need to go further.
We have a fraction and as every fraction the denominator CAN'T be equal to 0, so 3a MUST be different to 0. This means that a MUST be different to 0. So, now our domain changes:
domain' = a, b belonging to R and a different to 0.
No, because a scalene triangle has to have all sides that are different lengths. 2 sides being 13 inches would mean that the triangle has 2 sides that are equal, making it an isosceles triangle.
