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Answer:
y = -2x + 1
Step-by-step explanation:
To find slope, you need to use the formula:
m = [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]
Plug in the numbers accordingly:
m = [tex]\frac{-3-3 = -6}{2 +1 = 3}[/tex]
m = [tex]\frac{-6}{3}[/tex]
Simplify:
m = -2
To find the y-intercept, you need to plug in one of the coordinates (doesn't matter which one) into the equation:
Coordinate : (-1, 3)
3 = -2(-1) + b
3 = 2 + b
Subtract 2 from both sides:
3 = 2 + b
-2 -2
________
1 = b
Put it all together:
y = -2x + 1