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.
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
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