Answer:
y = 2x - 8
Step-by-step explanation:
To solve for slope, you need to use the formula:
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Then, plug in the numbers accordingly:
m = [tex]\frac{4 + 2 = 6}{6 - 3 = 3}[/tex]
m = [tex]\frac{6}{3}[/tex]
Simplify:
m = 2
Then to find the y-intercept, you take one of the coordinates (doesn't matter which one) and plug it into the equation:
Coordinate : (3, -2)
-2 = 2(3) + b
-2 = 6 + b
Subtract 6 from both sides:
-2 = 6 + b
-6 -6
_________
-8 = b
Put it all together:
y = 2x - 8
