Question

If a line falls on the points (7, 3) and (4, 2), what is its slope? enter your answer as a fraction in lowest terms. use a slash mark ( / ) as the fraction bar.

Answer 1

Line equation is: y=ax+b where a and b are two constants. a is also the slope of the line.
by replacing y and x value in the above equation we got two equations.
3=7a+b
2=4a+b
subtract the 2nd equation from the 1st one. you get:
1=3a
Therefore the slope is a=1/3

Answer 2

to find the slope (or gradient) of two points use the equation
(y2 - y1)/(x2 - x1)
where point 1 is (x1, y1) and point 2 is (x2, y2)
substitute the numbers in
(2 - 3)/(4 - 7)
which gives
-1/-3 = 1/3