The slope of the line is [tex]\frac{4}{3}[/tex].
Step-by-step explanation:
Given,
Two points are (10,2) and (19,14)
To find the slope of the line passing through these points.
Formula
The slope of the line passing through ([tex]x_{1} ,y_{1}[/tex]) and ([tex]x_{2} ,y_{2}[/tex]) is m = [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
Now,
Putting, [tex]x_{1}=10, y_{1}=2 x_{2}=19, y_{2}=14[/tex] we get,
m = [tex]\frac{14-2}{19-10}[/tex] = [tex]\frac{12}{9}[/tex] = [tex]\frac{4}{3}[/tex]
Hence, the slope of the line is [tex]\frac{4}{3}[/tex].
The slope of the line that passes through the points (10,2) and (19,14) is 4/3 and this can be determined by using the two-point slope formula.
Given :
Points -- (10,2) and (19,14)
The following steps can be used in order to determine the slope of the line that passes through the points (10,2) and (19,14):
Step 1 - The two-point formula of the slope can be used in order to determine the slope of the line that passes through the points (10,2) and (19,14).
Step 2 - The two-point formula of the slope is given below:
[tex]\rm m= \dfrac{y_2-y_1}{x_2-x_1}[/tex]
where m is the slope of the line, [tex]\rm (x_1,y_1)[/tex] and [tex]\rm (x_2,y_2)[/tex] are the points on the line.
Step 3 - Now, substitute the values of the known terms in the expression (1).
[tex]\rm m= \dfrac{14-2}{19-10}[/tex]
[tex]\rm m =\dfrac{12}{9}[/tex]
[tex]\rm m = \dfrac{4}{3}[/tex]
For more information, refer to the link given below:
https://brainly.com/question/25277954
