Question

What is the slope of the line which passes through (4, 7) and (2, 3)?

Answer 1

\[m={(y2-y1) \over (x2-x1)}\]

for slope of line passing through (x1,y1) , x2,y2) just substitute in it

Answer 2

Let us assume there is an unknown point (x,y) between these two known points

(7-y)/(4-x) = (y-3)/(x-2)

Cross-multiply and simplify to get
y = 2x-1

To check if this equation of the line is correct, plug in the x and y values of each of the known points to see if the equation holds

If it holds then the slope of the line is 2 (coeffecient of x)

Answer 3

\[answer is 2\]