Final answer:
For the provided linear equations, the values of a, b, and c are identified by rewriting each equation in the standard form ax + by = c, and then comparing the coefficients and constants.
Step-by-step explanation:
Understanding Linear Equations
Linear equations in the form ax + by = c represent a line on a graph, where a, b, and c are constants and x and y are variables. The coefficient a is associated with the variable x, b is associated with y, and c represents the constant term. Let's identify the values of a, b, and c in each given equation.
- For the equation y = 2, it can be rewritten as 0x + 1y = 2. Here, a = 0, b = 1, and c = 2.
- In the equation 5x - y = 1, the coefficients are already clear. Thus, a = 5, b = -1, and c = 1.
- The equation 4y + 2x = 3 is usually written with the x-term first. Rewritten as 2x + 4y = 3, we have a = 2, b = 4, and c = 3.