Question

Which expression can be used to find the slope of a line containing the points (–3, 2) and (7, –1)?

Answer 1

When 2 points are given, you would use the point slope formula.  y-yo = m(x-xo). You may also use a different formula.  P1 (x , y) and P2 (z , h)

then slope of line = ( h - y)/ (z - x)

so, apply this formula here also

slope of line = (-1-2)/(7- {-3})

                       (-3)/(10)

Where yo = either of the 2 point y coordinates

          xo = either of the 2 point x coordinates (paired with the above point)

          m = the slope

In this case,  m = (-1-2)/(7+3) = -3/10

Using point 1,

                            y-2 = (-3/10)(x+3) = (-3/10)x -9/10 or        y = (-3/10)x + 11/10