Question

The slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –x + 6. What is the point-slope form of the equation for this line?

y – 3 = –2/3(x + 8)

y + 3 = –2/3(x – 8)

y + 8 = – 2/3(x – 3)

y – 8 = – 2/3(x + 3)

Answer 1

`y-8=-1(x+3)`

But there must be a tyoe in your original equation or in the answers. Answer D is most likely.
`y-8=-(2)/(3)(x+3)`

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
`y -y_(1) =m(x -x_(1))`. The point slope form uses a point (x,y) for
`(x_(1),y_(1))` and the slope m.

We have m= -1 and (-3, 8). We input m and
`x_(1) =-3\\y_(1)=8`.

`y-8=-1(x-(-3))\\y-8=-1(x+3)`

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).