Slope Practice Problems - Linear Functions y=mx Worksheets

To solve this problem, follow these steps:

• Step 1: Observe the given graph and the plotted line.
• Step 2: Determine the direction of the line as it moves from left to right across the graph.
• Step 3: Understand that a line moving downwards from left to right represents a negative slope.

Now, let's work through these steps:

Step 1: The graph shows a straight line that starts higher on the left side and descends towards the right side.

Step 2: As the line moves from left to right, it descends. This is a key indicator of the slope type.

Step 3: A line that moves downward from the left side to the right side of the graph (decreasing in height as it proceeds to the right) is characteristic of a negative slope. Conversely, a positive slope would show a line ascending as it moves rightward.

Therefore, the solution to the problem is the line has a negative slope.

To determine the slope of the line shown on the graph, we perform a visual analysis:

• We examine the orientation of the line from left to right.
• The red line starts at a higher point on the left and descends to a lower point on the right.
• This indicates a downward movement, which corresponds to a negative slope.

Therefore, by observing the direction of the line, we conclude that the slope of the function is negative. This positional evaluation confirms that the correct answer is negative slope.

To solve this problem, we need to determine the slope of the line depicted on the graph.

First, understand that the slope of a line on a coordinate plane indicates how steep the line is and the direction it is heading. Specifically:

• A positive slope means the line rises as it goes from left to right.
• A negative slope means the line falls as it goes from left to right.

Let's examine the graph given:

• We see that the line starts at a higher point on the left and descends to a lower point on the right side.
• As we move from the left side of the graph towards the right, the line goes downwards.

This downward trajectory clearly indicates a negative slope because the line is declining as we move horizontally left to right.

Therefore, the slope of this function is Negative.

The correct answer is, therefore, Negative slope.

To solve this problem, we'll follow these steps:

• Step 1: Recognize the given function $y = 10 - 2x$ and compare it to the standard linear form $y = mx + b$.
• Step 2: Identify the coefficient of $x$ which is $-2$.
• Step 3: Understand that this coefficient $-2$ is the slope or rate of change of the function.

Now, let's work through each step:
Step 1: The linear function provided is $y = 10 - 2x$.
Step 2: Comparing this with the standard linear form $y = mx + b$, we see that the coefficient of $x$ is $-2$.
Step 3: Therefore, the rate of change (or the slope) of the function is $m = -2$.

Thus, the rate of change of the linear function is $m = -2$.

To solve this problem, let's follow these steps:

• Step 1: Identify the form of the given function
• Step 2: Compare the equation with the standard slope-intercept form
• Step 3: Extract the value of the slope from the equation

Now, let's work through each step:

Step 1: The given linear function is $y = -6x$. This is presented in the form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Step 2: Comparing $y = -6x$ with $y = mx + b$, we see that the equation lacks a constant term, indicating $b = 0$. The slope $m$ is the coefficient of $x$.

Step 3: The coefficient of $x$ is $-6$, so the slope $m$ is $-6$. Thus, the rate of change of the function is $-6$.

Therefore, the solution to the problem is $m = -6$.