Answer:
Step-by-step explanation:
To find the slope, use 2 coordinates from your table and plug them into the slope equation, which is
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Let's use the first 2 coordinates (-1, -2) and (0, -4). Plugging into the slope formula:
[tex]m=\frac{-4-(-2)}{0-(-1)}=\frac{-4+2}{0+1}=\frac{-2}{1}=-2[/tex]
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
