Answer:
Explanation:
1) This is a linear function so you have to use this ax + b = 0 formula.
ax represents the linear and b is the constant here.
2) Let's use our formula in this question.
g(x) = ax + b
3) Question says that you must write it -1 in the g(x) function to get 2. Then we write -1 instead of x.
g(-1) = a . -1 + b this should be equal to 2 >> 2 = a. -1 + b
4) The question gives us another equality: g(3) = -4. We are going to use the ax + b = 0 formula again.
g(3) = a . 3 + b this should be equal to -4 >> -4 = a . 3 + b
5) In the end we have 2 equalities.
a) 2 = -a + b
b) -4 = 3a + b
6) Let's multiply an equation with - .
a) -2 = a - b
b) -4 = 3a + b
7) If we add these two equation we can find a.
-6 = 4a
-3/2 = a
8) If we put -3/2 instead of a we can find b.
a) 2 = - . -3/2 + b >> 2 = 3/2 + b >> 2 - 3/2 = b >> b = 1/2
9) Now we find that a = -3/2 , b = 1/2. Let's write it in our formula.
g(x) = ax + b
g(x) = -3/2 . x + 1/2
g(x) = -3x/2 + 1/2 is our euqation for g(x).