Question

Find an equation of the line passing through the pair of points (5,4) and (4,5). Write in slope intercept form

Answer 1

$\text{Slope =} \dfrac{Y_2-Y_1}{X_2 - X_1}$

$\text{Slope =} \dfrac{5-4}{4-5} = -1$

Plug slope in the general equation : y = mx + b

y = -x + b

5 = -4 + b

b = 9

Plug y-intercept int the general equation:

y = -x + 9

Answer: y = -x + 9