How do u create an algebraic expression with a coefficient of 7 and a constant of 4

First, lets know what a coefficient and a constant is. A coefficient is the number that the variable is being multiplied. Here are some examples: 

• 6x+3, the coefficient is 6

• 7x+3, the coefficient is 7. 

• 1234x+561, the coefficient is 1234. 

Seems simple enough! The only thing though, is when you get into the higher levels of algebra, you want to call it the coefficient of x. 

So the constant is a number that will not change value regardless of the value of x. For example: 

• 141x+5, the constant is 5

• x+2, the constant is 2

• 8x+9, the constant is 9. 

Wow, easiness! All we have to do is make an expression that fulfils these requirements. So, how about this: 

 

The coefficient is 7, and the constant is 4. Done!

Hope this helped!

~Cam943, Moderator 

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the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

answer: the function g(x) has the greatest slope.