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Write (-1, 3); slope = -3 in linear equation

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Answer:


y=-3x

Explanation:

We want to write the equation for a line that has a slope of -3 and passes through (-1, 3).

So, we can use the point-slope form:


y-y_1=m(x-x_1)

Where m is the slope and (x₁, y₁) is a point.

Let's let (-1, 3) be (x₁, y₁) and let's substitute -3 for m. This yields:


y-3=-3(x-(-1))

Simplify:


y-3=-3(x+1)

Distribute on the right:


y-3=-3x-3

Add 3 to both sides. So, our equation is:


y=-3x

And we're done!

User Terje Mikal
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