(Type an integer or a simplified fraction.) B. No. The slope between \( (1,4) \) and \( (3,12) \) is equal to and \( (4,16) \) is equal to \( \square \). (Type integers or simplified fractions.)

To find the slope between two points, we use the formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \). For points \( (1, 4) \) and \( (3, 12) \), the slope is \( m = \frac{12 - 4}{3 - 1} = \frac{8}{2} = 4 \). For points \( (3, 12) \) and \( (4, 16) \), we calculate \( m = \frac{16 - 12}{4 - 3} = \frac{4}{1} = 4 \). So both slopes equal 4, confirming that these points lie on the same straight line! Identifying the slope is crucial in graphing linear equations. A slope of 4 indicates that for every step right (increasing x), the line rises by 4 units (increasing y). If you're plotting this on a coordinate plane, you'll create a steep line, making it easy to visualize that relationship between the X and Y coordinates.