Given:
Slope = [tex]\dfrac{3}{5}[/tex] and y-intercept = 6.
To find:
The linear equation for the given information.
Solution:
The slope intercept form of a linear equation is
[tex]y=mx+b[/tex]
Where, m is the slope and b is the y-intercept.
Putting [tex]m=\dfrac{3}{5}[/tex] and b =6 in the above equation, we get
[tex]y=\dfrac{3}{5}x+6[/tex]
The required linear equation for the given information is [tex]y=\dfrac{3}{5}x+6[/tex].
Therefore, the correct option is B.
