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?

Answer 1

y - 8 = -(x + 3)

hope this helps

Answer 2

Answer: The point slope form of the equation for this line is given by

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

Explanation:

Since we have given that

The slope intercept form of the equation of a line is given by

`y=-x+6-------------------(1)`

Line passing through a point is given by

(-3,8)

So, from the equation (1), we get that

m = Slope of line = -1

So, Point slope form of the equation of the line is given by

`y-y_0=m(x-x_0)\\\\(y-8)=-1(x+3)\\\\y-8=-(x+3)`

Hence, the point slope form of the equation for this line is given by

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