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Answer:
y = 4x
Step-by-step explanation:
To start, we need to find the slope:
m = y₁ - y₂ / x₁ - x₂
Substitute the numbers and solve for the slope:
m = -4 - (-8) / -1 - (-2)
m = -4 + 8 / -1 + 2
m = 4 / 1
m = 4
Now we know that the slope is 4.
Next, we need to use point-slope form:
y - y₁ = m(x - x₁)
Once more, substitute the numbers:
y - (-4) = 4(x - (-1))
y + 4 = 4(x + 1)
y + 4 = 4x + 4
y = 4x
Therefore, the equation of the line is y = 4x.