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What is an
equation of the line that passes through the points (-1,-4) and
(-2,-8)?


Sagot :

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.