Question

1. what is the rate and y-intercept given the equation $y = 6x - 2$?

what is the rate?
what is the y-intercept?

Explanation:

Step1: Identify slope-intercept form

The equation $y = 6x - 2$ follows $y=mx+b$, where $m$ = rate (slope), $b$ = y-intercept.

Step2: Match values to form

Rate is $m=6$, y-intercept is $b=-2$.

Step3: Calculate table y-values

Substitute each $x$ into $y=6x-2$:

• $x=-1$: $y=6(-1)-2=-8$
• $x=0$: $y=6(0)-2=-2$
• $x=1$: $y=6(1)-2=4$
• $x=2$: $y=6(2)-2=10$
• $x=3$: $y=6(3)-2=16$

Answer:

What is the rate? $\boldsymbol{6}$
What is the y-intercept? $\boldsymbol{-2}$
Completed table:

x	y
0	-2
1	4
2	10
3	16