Question

I need help I put 30 points for whoever helps me

Answer 1

Answer:

$y=-x+1$

Step-by-step explanation:

Slope can be represented as rise over run (change y-values over change in x-values). Since the y-value is changing by -2 every time the x-value is changing by 2, the slope of the line must be $\frac{-2}{2}=-1$.

In slope-intercept form $y=mx+b$, $m$ represents the slope of the line, $b$ represents the y-intercept, and $(x, y)$ represent the coordinates of any point the line passes through.

To find $b$, substitute $m=-1$ and any point the line passes through.

Using (1, 0) from the table:

$0=-1(1)+b,\\0=-1+b,\\b=1$

Thus, the equation of this line is $\boxed{y=-x+1}$