4x+y=-10 function form ?

Question

What is function form ?

Answer 1

Function form is the same as slope-intercept form yet the "y" is replaced by "f(x)."

 

4x + y = -10

y = -4x - 10

f(x) = -4x - 10

Answer 2

There are a few different ways a linear equation(function) can be written. Just like how A + B = 10 and A = 10 - B are equivalent equations(they mean the same thing but look different).

 

 

The 3 main forms of linear equations are Slope-Intercept Form, Standard Form, and Point-Slope Form.

There is also General Form, Double-Intercept Form, and a few others but these are not used very often.

 

Slope intercept Form is always written as y = mx +b, where the coefficient(the number in front) of y is 1. "m" is the"slope" and thought of as a fraction, even if it is a whole number. "b" can be anything, even 0.

 

Standard form is written as Ax + By = C. A,B,C must be integers(not fractions), x should be written before y, and A must be positive. If A,B,or C are fractions, then you multiply every term by the common denominator of the three terms.

 

Point-Slope Form is written as y - y₁ = m(x - x₁), where m is the "slope" again, and x₁ and y₁ create a given point (x₁, y₁). 

 

Your function, 4x + y = -10 is a match for Standard form.