Question

The slope of the line below is -2. Use the coordinates of the labeled point to

find a point-slope equation of the line.

Answer 1

Hope this helps! The answer is correct as I also took the quiz.

Answer 2

We can express the equation for any linear equation with slope -2 and point (x0,y0) as:

`y=-2x+(y_0+2x_0)\\\\y-y_0=-2(x-x_0)`

Explanation:

Incomplete question:

There is no point to complete the equation.

As we have no point to complete the linear equation, we will solve for any given point (x0,y0) and a slope of m=-2.

The linear equation can be written generically as:

`y(x)=mx+b\\\\y(x)=-2x+b`

If a point, like (x0,y0) belongs to the linear equation, it satisfies its equation. Then:

`y_0=-2x_0+b`

Then, we can calculate b as:

`y_0=-2x_0+b\\\\b=y_0+2x_0`

We can express the equation for any linear equation with slope -2 and point (x0,y0) as:

`y=-2x+(y_0+2x_0)\\\\y-y_0=-2(x-x_0)`