Question

Which equation in slope intercept form represents the line that passes through (-1,5) and (5,8)

Answer 1

find slope
slope between (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)
given
(-1,5) and (5,8)
slope=(8-5)/(5-(-1))=3/(5+1)=3/6=1/2

y=1/2x+b
sub a point
(-1,5)
x=-1, y=5
5=1/2(-1)+b
5=-1/2+b
add 1/2
5 and 1/2=b

y=1/2x+5 and 1/2
y=1/2x+11/2