Respuesta :

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