Question

solve for y.\
5x + 2y = 4\
y = \square x + \square\
graph the linear equation.

Explanation:

Step1: Isolate the term with y

We start with the equation \(5x + 2y=- 4\). Subtract \(5x\) from both sides to get \(2y=-5x - 4\).

Step2: Solve for y

Divide every term in \(2y=-5x - 4\) by 2. So \(y=\frac{-5x-4}{2}\), which can be written as \(y =-\frac{5}{2}x-2\).

Answer:

\(y =-\frac{5}{2}x - 2\) (In the form \(y=\) [coefficient of \(x\)] \(x+\) [constant term], the coefficient of \(x\) is \(-\frac{5}{2}\) and the constant term is \(- 2\))