Question

find the slope of the line 4x - y = 16.
write your answer as an integer or as a simplified proper or improper fraction.

Explanation:

Step1: Convert to 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 $4x-y = 16$.
We want to solve for $y$. First, we can rewrite the equation as $-y=-4x + 16$.

Step2: Solve for y

Multiply both sides of the equation $-y=-4x + 16$ by $- 1$ to isolate $y$. When we multiply each term by $-1$, we get $y = 4x-16$.
In the slope - intercept form $y=mx + b$, the coefficient of $x$ is the slope. Here, the coefficient of $x$ is $4$.

Answer:

4