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.
