Answer:
[tex]y-8=-1(x+3)[/tex]
But there must be a tyoe in your original equation or in the answers. Answer D is most likely. [tex]y-8=-\frac{2}{3}(x+3)[/tex]
Step-by-step explanation:
y=-x+6 as the slope intercept form tells us the slope m=-1 and y-intercept b=6.
Using this information, we can substitute into the point-slope formula [tex]y -y_{1} =m(x -x_{1})[/tex]. The point slope form uses a point (x,y) for [tex](x_{1},y_{1})[/tex] and the slope m.
We have m= -1 and (-3, 8). We input m and [tex]x_{1} =-3\\y_{1}=8[/tex].
[tex]y-8=-1(x-(-3))\\y-8=-1(x+3)[/tex]
However, the slope intercept equation you list does not match the answers. They list the slope as m=-2/3 instead of m=-1. Be sure to check for a typo. The closest equation to ours is answer D y-8=-2/3(x+3).
