Question

1. 2x - y = -1

Explanation:

Step1: Isolate y

We start with the equation \(2x - y = -1\). To solve for \(y\), we can add \(y\) to both sides and add \(1\) to both sides.
Adding \(y\) to both sides: \(2x = y - 1\).
Then adding \(1\) to both sides: \(y = 2x + 1\).

Step2: Identify the form

This is the slope - intercept form of a linear equation \(y=mx + b\), where \(m = 2\) (the slope) and \(b = 1\) (the y - intercept). If we want to find the x - intercept, we set \(y = 0\) in the original equation: \(2x-0=-1\), so \(x=-\frac{1}{2}\).

Answer:

If we solve for \(y\), the equation is \(y = 2x+1\); the slope is \(2\), the y - intercept is \(1\), and the x - intercept is \(-\frac{1}{2}\) (depending on what was required, but the most common manipulation is solving for \(y\) giving \(y = 2x + 1\)).