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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?

Respuesta :

y - 8 = -(x + 3)

hope this helps

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

[tex]y-8=-(x+3)[/tex]

Step-by-step explanation:

Since we have given that

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

[tex]y=-x+6-------------------(1)[/tex]

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

[tex]y-y_0=m(x-x_0)\\\\(y-8)=-1(x+3)\\\\y-8=-(x+3)[/tex]

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

[tex]y-8=-(x+3)[/tex]

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