General form of a linear equation is ax+by+c=0 where a,b, and c are three real numbers.
So, we can shift all the terms in one side of the equation. Hence, first step is to remove y from the left side. So, subtract y from each sides.
y-y=3x+2-y
0= 3x - y +2 (By simplifying)
So, the general form of the given equation is 3x-y+2=0.
Answer:
C. 35/4
Step-by-step explanation:
<em>I </em><em>think </em><em>41 </em><em>is </em><em>correct </em><em>answer</em>
Step-by-step explanation:
(7+8)-(5+9)+4(2+5)
=15-14+4(10)
=1+40
=41
The piece-wise linear functions can be written as follows:
- .
- .
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For x less than 5, the y-intercept is of b = 3 and the function also gos through (2,2), hence the slope is:
m = (2 - 3)/(2 - 0) = -0.5.
Hence the rule is:
.
When x = 5, the function is constant at -5, hence:
For x less than 5, the function goes through points (6,3) and (7,2), hence the slope is:
m = (2 - 3)/(7 - 6) = -1.
Then:
y = -x + b
When x = 6, y = 3, hence the y-intercept is given as follows:
3 = -6 + b
b = 9.
Hence the rule is:
.
More can be learned about linear functions at brainly.com/question/25537936
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