Enter the equation of the following using line in slope-intercept form. slope =2; point on the line is (-2,1)

Slope-intercept form means y = ax + b, where a is the slope and b is the intercept.

You know the slope is 2, so now you just need to find the value of b so that the point (-2,1) makes sense. So find b when

1 = (2 * -2) + b
-->
1 = -4 + b
--> 
b = 5

So now just put it all into your equation:

y = 2x + 5

Y - y₁ = m(x - x₁)
y - 1 = 2(x - (-2))
y - 1 = 2(x + 2)
y - 1 = 2(x) + 2(2)
y - 1 = 2x + 4
  + 1         + 1
     y = 2x + 5

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