The value of b if the two points (b,5) and (3b,7) have a slope of 10 is 0.1 and this can be determined by using the two point slope formula
Given :
- Points -- (b,5) and (3b,7)
The formula of the slope when two points are given can be used in order to determine the value of 'b'.
The formula of the slope is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
where m is the slope of the line, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points on the line.
Now, substitute the values of known terms in the above formula in order to determine the value of 'b'.
[tex]\rm 10 =\dfrac{7-5}{3b-b}[/tex]
Simplify the above expression.
[tex]\rm 10 =\dfrac{2}{2b}[/tex]
Cross multiply in the above expression.
20b = 2
b = 0.1
So, the value of b if the two points (b,5) and (3b,7) have a slope of 10 is 0.1.
For more information, refer to the link given below:
https://brainly.com/question/20786109
