Question

The graph of linear function f passes through the point (-3,8) and has a slope of -2What is the zero of f?

Answer 1

We know that

• The slope is -2.

,

• The point is (-3,8)

First, we have to find the equation of the line. We use the point-slope formula.

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

Let's replace the slope and the point.

`\begin{gathered} y-8=-2(x-(-3)) \\ y-8=-2x-6 \\ y=-2x-6+8 \\ y=-2x+2 \end{gathered}`

Once we have the equation, we find the solution when y = 0.

`\begin{gathered} 0=-2x+2 \\ -2=-2x \\ x=-(2)/(-2) \\ x=1 \end{gathered}`

Therefore, the zero is 1.