Question

find the slope of a line parallel to the line whose equation is 3x - y = -1. fully simplify your answer. answer attempt 1 out of 2

Explanation:

Step1: Rewrite in slope - intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. We start with the equation $3x - y=-1$.
We want to solve for $y$. First, we can add $y$ to both sides of the equation: $3x=-1 + y$. Then, we add 1 to both sides to get $y = 3x+1$.

Step2: Determine the slope of parallel lines

Parallel lines have the same slope. In the equation $y = 3x + 1$, the coefficient of $x$ (which is $m$) is 3. So, the slope of a line parallel to the line $3x - y=-1$ is also 3.

Answer:

3