Questions: Question 19 (5 points) What is the slope of the line passing through (-4,3) and (5,3)? a 0 b no slope c 9 d 1

Transcript text: Question 19 (5 points) What is the slope of the line passing through $(-4,3)$ and $(5,3) ?$ a 0 b no slope c 9 d 1

Solution

Solution Steps

To find the slope of the line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$, we use the formula: \[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \] Given the points $(-4, 3)$ and $(5, 3)$, we can substitute these values into the formula to find the slope.

Step 1: Identify the Points

The points given are $(-4, 3)$ and $(5, 3)$.

Step 2: Apply the Slope Formula

The slope $ m $ of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is calculated using the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Step 3: Substitute the Values

Substituting the coordinates of the points into the formula: \[ m = \frac{3 - 3}{5 - (-4)} = \frac{0}{5 + 4} = \frac{0}{9} = 0 \]

Step 4: Interpret the Result

Since the slope $ m = 0 $, this indicates that the line is horizontal.