write an equation of the line point-slope form that passes through the given points. (3,-5) and (1,-8)

Answer 1

(3,5) and (1,-8) have a line through them with slope = (5+8)/(3-1) = 13/2 = (y-5)/(x-3)

slope= the difference in y values divided by the difference in x values

y-5 = (13/2)(x-3)

y = (13/2)x- 39/2+5

y = (13/2)x -29/2 in slope intercept form. slope = 13/2, intercept = -29/2

5= (13/2)(3)-29/2 =39/2-29/2= 10/2

-8= (13/2)(1) - 29/2 =(13-29)/2=-16/2