I cant figure out the equation of a line from two points

Question

What is an equation of the line that passes through the points (4,6) and (8,7)?

Answer 1

line through the points (4,6) and (8,7)

is (7-6)/(8-4) = (y-6)/(x-4)

y-6 =(1/4)(x-4)

y = x/4 -1+6

y = (1/4)x +5 is the equation in slope intercept form. slope=m=1/4, y intercept=b= 5

y=mx+b

or y=x/4 -4

x-4y +20 = 0 in the equation in general form

ax+by+c=0, a=1, b=-4, c=20

x-4y =-20 is the equation in standard form

that all assumes you meant a straight line

there's an infinite number of curved lines that pass through those 2 points

Answer 2