Respuesta :
C
the equation of a line in ' slope- intercept form ' is
y = mx + c ( m is the slope and c the y-intercept )
y = [tex]\frac{3}{4}[/tex] x is in this form
with slope m = [tex]\frac{3}{4}[/tex] → C
The slope of the line is [tex]m=\dfrac{3}{4}[/tex].
Given,
Equation of line is,
[tex]y=\dfrac{3}{4} x[/tex].
The line is passes through point,(2,1) .
We know that the slope form of equation is,
[tex]y=mx+c[/tex]
here m is the slope of the line and c is its y intercept.
On comparing the given equation of line with the general equation we get,
[tex]m=\dfrac{3}{4}[/tex].
Hence the correct option is C.
For more details on slope follow the link:
https://brainly.com/question/3605446