The slope-intercept form of a linear equation of a nonvertical line is y= mx + b. In this equation m is the slope and b is the y -intercept.
Now, let's take a look at the given rule.
y=6+(- 3)x
Let's rewrite our equation a little bit so that it more closely resembles this format. This will make it easier to identify the y-intercept.
y=6+(- 3)x [0.4em] ↓ [0.4em] y = (- 3)x+ 6
Looking at the given equation, we can see that the y-intercept is 6. This means that the line will cross the y-axis at (0,6).
In Part A, we wrote the given rule in the slope-intercept form. Let's analyze our result to point out the slope for the given rule.
y = ( - 3)x+6
We can see the slope is - 3.
