Questions: Use the slope formula to find the slope of the line passing through the points (-2.7,-4.8) and (5.2, ÷ 4.8).

Solution Steps

To find the slope of the line passing through two points, we use the slope formula: \( m = \frac{y_2 - y_1}{x_2 - x_1} \). Here, the points are \((-2.7, -4.8)\) and \((5.2, \div 4.8)\). We need to substitute these coordinates into the formula to calculate the slope.

The points given are \( A(-2.7, -4.8) \) and \( B(5.2, 4.8) \).

Using the slope formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \), we substitute the coordinates: \[ m = \frac{4.8 - (-4.8)}{5.2 - (-2.7)} \]

Calculating the differences: \[ m = \frac{4.8 + 4.8}{5.2 + 2.7} = \frac{9.6}{7.9} \]

Evaluating the fraction gives: \[ m \approx 1.2152 \]

Final Answer