Answer:
y = -2x +1
Step-by-step explanation:
The equation for linear lines is y = mx + b where m = slope and b = the y-intercept.
1) Find the slope (m)
To do this, you have to divide the change in y by the change in x.
a. Change in y is -3 - (3) = -6
b. Change in x is 2 - (-1) = 2 + 1 = 3
c. -6 divided by 3 = -2
That means the slope is -2.
Plugging this back into our equation... y = -2x +b. Now all that's left to be found is b.
2) To do this, you plug in one of the points you have been given. Either one will work, but I'm going to use (-1, 3) where -1 is x and 3 is y.
y = -2x +b
3 = -2(-1) +b
3 = 2 + b
3 - 2 = 2 - 2 + b -> if you do something to one side, you must do it to the other.
1 = b
That means that the equation is y = -2x +1.
I hope this helps!
