Question

What is the point slope form with the points -3,5 and 9,1

Answer 1

y -5 = -1/3(x +3)

Explanation:

You want a point-slope equation of the line through points (-3, 5) and (9, 1).

Slope

The slope of the line is given by ...

`m=(y_2-y_1)/(x_2-x_1)\\\\\\m=(1-5)/(9-(-3))=(-4)/(12)=-(1)/(3)`

Point-slope form

The point-slope form of the equation for a line is ...

y -k = m(x -h) . . . . . . . . . line with slope m through point (h, k)

Either of the given points can be used to write this equation. Using the first point, we have ...

y -5 = -1/3(x +3) . . . . . . point-slope equation for the line

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