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What is the slope of the line with the equation of y=3/4x that passes through the point (2,1)?

A) 1
B) 2
C) 3/4
D) 4/3
E) 3

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