Which equation represents a line that passes through (4,1/3 ) and has a slope of 3/4? y – = (x – 4) y – = (x – 4) y – = 4(x – 3/4) y – 4 = (x – 1/3)

y - 1/3 = 3/4(x - 4)

Step-by-step explanation:

We know that the general equation of a line is the following:

y - yo = m(x-xo), where 'm' represents the slope of the line, and (xo, yo) is any point that belongs to the line.

Then, the equation of the line that passes through (4, 1/3) and has a slope of 3/4 is: y - 1/3 = 3/4(x - 4)

For this case we have that by definition, the slope-intersection equation of a line is given by:

Where:

m: It's the slope

b: It is the cut point with the y axis.

They tell us as data that:

Now the equation is:

We substitute the point to find "b":

Finally the equation is:

In point-slope form the equation is: