Answer:
The slope of line passing through points (2 , 4) and (15 , 9) is [tex]\dfrac{5}{13}[/tex]
Step-by-step explanation:
Given as :
A line is passing through the points
i.e [tex]x_1[/tex] , [tex]y_1[/tex] = 2 , 4
And [tex]x_2[/tex] , [tex]y_2[/tex] = 15 , 9
Let The slope of line = m
Now, Slope of line is determine as
slope = [tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Or, m = [tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Or, m = [tex]\dfrac{9 - 4}{15 - 2}[/tex]
Or, m = [tex]\dfrac{5}{13}[/tex]
So, The slope of line = m = [tex]\dfrac{5}{13}[/tex]
Hence, The slope of line passing through points (2 , 4) and (15 , 9) is [tex]\dfrac{5}{13}[/tex] Answer