Question

Find the equation of the given line.Find the equation of the line passing through (4, 6) with slope -1/2.y =

Answer 1

The given slope is -1/2.

The given point is (4,6).

We have to use the point-slope formula to find the equation.

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

Replacing the given information, we have.

`\begin{gathered} y-6=-(1)/(2)(x-4) \\ y-6=-(1)/(2)x+(4)/(2) \\ y-6=-(1)/(2)x+2 \\ y=-(1)/(2)x+2+6 \\ y=-(1)/(2)x+8 \end{gathered}`

Therefore, the equation is

`y=-(1)/(2)x+8`