Question

If f(x) is parallel to the line y= 3/4 x + 2/5 which function could be f(x)

Answer 1

If f(x) is parallel to the line y=3/4x+b ,it would have to have the same slope.

In this equation:

y=mx+b

m= is the slope of the line.

A line parallel to the line y=3/4x +2/5 must have the same slope; that it is to say, the slope would be m=3/4

Examples:

y=3/4 x+ 50000

y=3/4 x -51/36

y=3/4 x -√2

These functions could be parallels to the line y=3/4 x +2/5

Answer 2

see below.

Explanation:

The key to this question is the factor 3/4. So anything that is going to make the coefficient in front of x = to 3/4 is a possible answer.

y = 3/4x + b where b is anything but 2/5 is one answer. Disguised but still likely is

4y = 3x + b Where you could divide everything by 4

y = 3/4x + b/4

Even something like

-4y = - 3x + b is possible because when you divide by -4, you get

y = -3x/-4 + b/-4

y = 3x/4 - b/4