Question

1. what is the slope and y - intercept of the following line?

y = 2x - 6

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the $y$-intercept.

Step2: Identify $m$ and $b$ from the given equation

For the equation $y=2x - 6$, comparing it with $y = mx + b$, we can see that $m = 2$ (the coefficient of $x$) and $b=- 6$ (the constant term).

Answer:

The slope of the line $y = 2x-6$ is $2$ and the $y$-intercept is $- 6$.