Find the equation of a line that passes through the points (1,3) and (2,2). Leave your answer in the form y = m x + c

Answer 1

(1,3), (2,2) have a line through them with slope = m = difference in y's divided by difference in x's = "rise over run" = (3-2)/(1-2) =-1

y = mx +c

3= 1(1)+c

c = 2 = y intercept

m=1= slope

the line's equation is

y =x +2

with an implicit 1 as the x coefficient = slope

or if you want to indicate the slope expressly, then

y =(1)x +2