Question

witch is an equation in point-slope form for the given point and slope? point (8, -4) slope -5/6y + 4 = -5/6 (x + 8)y - 4 = -5/6 (x + 8)y + 4 = -5/6 (x - 8)y - 4 = -5/6 (x - 8)

Answer 1

To solve the exercise you can use the point-slope formula, that is,

`\begin{gathered} y-y_1=m(x-x_1) \\ \text{ Where m is the slope of the line and} \\ (x_1,y_1)\text{ is a point through which the line passes} \end{gathered}`

So, in this case, you have

`\begin{gathered} m=-(5)/(6) \\ (x_1,y_1)=(8,-4) \end{gathered}`
`\begin{gathered} y-y_1=m(x-x_1) \\ y-(-4)_{}=-(5)/(6)(x-8) \\ y+4_{}=-(5)/(6)(x-8) \end{gathered}`

Therefore, the equation in point-slope form for the given point and slope is

`y+4_{}=-(5)/(6)(x-8)`

and the correct answer is C.