Question

Write an equation of the line with the given slope that contains the given point.

a) Q(5,2), slope -2​

Answer 1

`y=-2x+12`

Explanation:

We can use the point-slope form given by:

`y-y_1=m(x-x_1)`

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

So, we will substitute -2 for m and (5, 2) for (x₁, y₁). This gives us:

`y-(2)=-2(x-(5))`

Simplify:

`y-2=-2(x-5)`

Distribute:

`y-2=-2x+10`

Add 2 to both sides. Hence, our equation is:

`y=-2x+12`