Answer:
y = -2x
Step-by-step explanation:
The correct line equation is in the format:
y = mx + b
Where m is the slope and b is the y-intercept.
The formula for calculating the slope is:
[tex]\frac{y2 - y1}{x2 - x1}[/tex]
Where (x1, y1) is the first set of coordinates and (x2, y2) is the second set.
Plug the values in:
[tex]\frac{0 - 2}{0 - (-1)}[/tex]
[tex]\frac{0 - 2}{0 + 1}[/tex]
[tex]\frac{-2}{1}[/tex]
= -2
So the format is now:
[tex]y = -2x + b[/tex]
Plug the second coordinate set:
[tex]2 = -2(-1) + b\\2 = 2 + b\\2 - 2 = b\\0 = b\\\\[/tex]
Meaning the equation in slope-intercept form is simply:
y = -2x
Hope this helps!
