Aline passes through (−1, 7) and (2, 10).
which answer is the equation of the line?

a. −3x+y=4−3x+y=4

b. −3x+y=16−3x+y=16

c. −x+y=8−x+y=8

d. −x+y=12

The slope m of a line through points  and   is given by :



Thus, the slope of the line passing through points (−1, 7) and (2, 10) is 




The equation of a line with slope m passing through a point P(a, b) is given by
                                        (y-b)=m(x-a).

We can consider any of the points (-1, 7), or (2, 10). Let's choose (2, 10):

                                        y-10=1(x-2)
                                        y-10=x-2
                                           y-x=-2+10
                                           y-x=8
                                       

   C. −x+y=8