Write the equation of the line that passes through the points (3,-4) and (7,6) put the answer in simplified point slope form, unless it is a vertical or horizontal line

Question

Write the equation of the line that passes through the points (3,-4) and (7,6) put the answer in simplified point slope form, unless it is a vertical or horizontal line

Answer 1

Point-slope form (y-y1)=m(x-x1)

To find the slope plug in the two points

(6--4)=m(7-3)

10=4m

10/4 or 5/2=m

Now plug in one point and slope into original equation

(Y-6)=5/2(x-7) or (y+4)=5/2(x-3)