Question

Given the point-slope equation y+5=-8(x-9), state the slope and the indicated point of the graph

Answer 1

slope: m= -8

Point on the graph: (9,-5)

1) Given that the point-slope equation is written in this form:

`\begin{gathered} (y-y_1)=m(x-x_1) \\ y+5\text{ = -8(x-9)} \end{gathered}`

2) Then comparing the given equation, we can state:

m= -8, and the point is (9, -5)

3) Hence, the answer is

slope: m= -8

Point on the graph: (9,-5)