Question

Help please, i really need it!

Answer 1

Answer:

Step-by-step explanation:

To find the slope, use 2 coordinates from your table and plug them into the slope equation, which is

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

Let's use the first 2 coordinates (-1, -2) and (0, -4).  Plugging into the slope formula:

$m=\frac{-4-(-2)}{0-(-1)}=\frac{-4+2}{0+1}=\frac{-2}{1}=-2$

Therefore, we know that the slope is -2.

The y-intercept exists where x = 0.  We see from our table that when x = 0, y = -4.  So the y-intercept is -4.

To write our equation, we will use the slope-intercept form of a line, which is

y = mx + b, where m is the slope and b is the y-intercept.  Plugging in both our values for slope and the y-intercept:

y = -2x - 4