Question

Given the following linear functio, determine the slope of a line parallel to f(x)

F(x)=4/3x+2
A.2/3
B.-4/3
C.4/3
D.-3/4

Answer 1

Option C is correct.

C. 4/3

Explanation:

Given:

The given linear function of a line.

F(x)=4/3x+2

We need to determine the slope of a line parallel to F(x)=4/3x+2

Solution:

First we compare the given function of the line with standard form of a line.
`y = mx + c`

Where m = slope of the line.

And c = y-intercept

So, the slope of the line
`m=(4)/(3)` and y-intercept
`c=2`

We know that the slope of the parallel lines are same.

Therefore, the slope of a the parallel line
`m=(4)/(3)`.