The linear function with values of f(-1)=8 and f(5)=6 is f(x) =
.
What is linear function?
A straight line on the graph has the equation or formula y = f(x) = px + q is linear function .One independent and one dependent variables are present. X and Y are the independent and dependent variables, respectively. P is the y-intercept or constant term, and it also represents the value of the dependent variable. A straight line on the coordinate plane is represented by a linear function.
Here the given values are f(-1)=8 and f(5)=6.
We know that f(x)=y , Then the points are (-1,8) and (5,6).
Using slope formula ,
=> slope m= 
=> slope m = -2/6=-1/3
Now using slope formula,
=> 
=>y-8=-1/3(x+1)
=>3y-24=-x-1
=> 3y=-x+23
=> y = 
Hence the linear function is f(x) =
.
To learn more about linear function refer the below link
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Answer:

Step-by-step explanation:
An equation of a line is given
, where m is the gradient or 
The rise indicates the change in value of y (vertical change in the graph).
The run indicates the change in value of x (horizontal change in the graph).
Let point 1 of the graph be (x,y) = (0,-34) and point 2 be (x,y) = (20,0).
Substitute point 1 into the graph to get the constant c.



∴ The equation of the line is, 
Answer:
Rational
Step-by-step explanation:
You can write it as a ratio of a/b
Step-by-step explanation:
I can only answer part 2 of your question, "If we multiply two positive numbers, is the result positive or negative?". if you multiply 2 positive numbers your answer would be positive.
<em>Answer,</em>
<em><u>4a^3 − 10a + 6/3a^2</u></em>
<em>Explanation,</em>
<em><u>Just Simplify</u></em>
<em>= 16a^4 − 40a^2 + 24a/12a^3</em>
<em>= 16a^3 − 40a + 24/12a^2</em>
<em>= </em><em>4a^3 − 10a + 6/3a^2</em>
<u><em>Hope This Helps :-)</em></u>