Find the Rate of Change: Analyzing y=-3/8-4x Linear Equation

Question

For the following straight line equation, state what is the rate of change?

y=384x y=-\frac{3}{8}-4x

Video Solution

Solution Steps

00:00 What is the rate of change of the function?
00:03 We want to arrange the equation that represents a line
00:06 The rate of change of the function is the slope of the function (X coefficient)
00:10 And this is the solution to the question

Step-by-Step Solution

To determine the rate of change for the given line equation, we recognize that the equation y=384x y = -\frac{3}{8} - 4x is in the slope-intercept form y=mx+b y = mx + b , where m m is the slope and represents the rate of change.

In the equation provided, the term 4x -4x indicates that the slope or rate of change is m=4 m = -4 .

Thus, the rate of change of the given straight line is 4 -4 .

Comparing this to the provided choices, the correct answer is:

  • Choice id "2": 4 -4

Therefore, the rate of change for the linear equation is 4 -4 .

Answer

4 -4