slope intercept form

Question

What is an equation of a line (in slope-intercept form) that passes through the points (2, 5) and (8,negative -7)?

Answer 1

y=mx+b where m=slope and b=y-intercept

slope=(-7-5)/(8-2)=-12/6=-2

m=-2

y=-2x+b

take the coordinates of either point

(2,5)

5=-2(2)+b

5=-4+b

5+4=b

b=9

y=-2x+9

or,...

(8-7)

-7=-2(8)+b

-7=-16+b

-7+16=b

b=9

y=-2x+9 again