Answer :
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
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
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