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What is the rate of change of the function y, equals, start fraction, 3, divided by, 4, end fraction, x, minus, 2y=
4
3
​
x−2?
Answer
Attempt 1 out of 2

Answer 1

To find the rate of change of the function given in the equation \( y = \frac{3}{4}x - 2 \), we can analyze the structure of the equation to identify its slope.

The equation is already in the slope-intercept form, which is given by:

\[
y = mx + b
\]

where \( m \) is the slope (rate of change) and \( b \) is the y-intercept.

In your equation:

\[
y = \frac{3}{4}x - 2
\]

- The coefficient of \( x \) (which is \( \frac{3}{4} \)) represents the rate of change of \( y \) with respect to \( x \).

Therefore, the rate of change of the function is:

\[
\frac{3}{4}
\]

So, the answer is \(\frac{3}{4}\).