\( 1 \leftarrow \begin{array}{c}\text { Find the slope of the line. } \\ 4 x-7 y=28\end{array} \)

To find the slope of the line given by the equation \( 4x - 7y = 28 \), we first need to rearrange it into slope-intercept form \( y = mx + b \), where \( m \) represents the slope. Starting with the equation: \[ 4x - 7y = 28 \] We can isolate \( y \): \[ -7y = -4x + 28 \] \[ y = \frac{4}{7}x - 4 \] Here, the slope \( m \) is \( \frac{4}{7} \). Did you know that the slope of a line indicates how steep it is? A positive slope means the line goes up from left to right, while a negative slope means it goes down. If the slope is zero, the line is horizontal, and if it’s undefined, the line is vertical. Each type of slope can dramatically change the way we interpret data in mathematics and real-world scenarios! For anyone looking to strengthen their skills in interpreting linear equations, consider practicing with various equations. Try turning different standard forms into slope-intercept form and identify the slopes and y-intercepts. By regularly engaging with this process, you’ll become more familiar with the characteristics of linear equations and how they apply to graphing and problem-solving in everyday contexts.