Linear Functions Practice Problems y=mx+b - Slope & Y-Intercept

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, let's analyze the given graph of the function to determine the slope's sign.

The slope of a line on a graph indicates the line's direction. A line with a positive slope rises as it moves from left to right, indicating that for every step taken to the right (along the x-axis), we move upward. Conversely, a line with a negative slope falls as it moves from left to right, meaning each step to the right results in moving downward.

Examining the graph provided, the red line starts higher on the left and goes downward towards the right visually. This indicates that the line is rising as it goes from left to right, which confirms it has a positive slope.

Therefore, the solution to the problem, regarding the slope of the line, is that it is a Positive slope.

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

• Step 1: Visual Inspection – Examine the red line on the graph to determine direction.
• Step 2: Determine Slope Direction – Ascertain if the line rises or falls as it moves from left to right.
• Step 3: Compare with Possible Answers – Verify which choice aligns with the determined slope direction.

Now, let's work through each step:
Step 1: The graph shows a red line segment, oriented in a manner that moves from left (lower) to right (higher).
Step 2: As the red line moves from the left toward the right side of the graph, it rises, indicating an upward trend and suggesting a positive slope.
Step 3: Given that the line increases from left to right, the slope is positive.

Therefore, the solution to the problem is Positive slope.

To determine the slope of the line segment shown in the graph, follow these steps:

• Identify the line segment on the graph; it's shown as a red line from one point to another.
• Examine the direction the line segment travels from the leftmost point to the rightmost point.
• Visually analyze whether the line segment is rising or falling as it moves from left to right.

Here is the detailed analysis:
- The red line segment starts lower on the left side and ends higher on the right side.
- This suggests that as we move from left to right, the line is rising.
- In terms of slope, a line that rises as it moves from left to right has a positive slope.

Therefore, the slope of the line segment is positive.

Thus, the correct answer is Positive slope.