Question

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

Answer 1

`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!