Use the given conditions to write an equation for the line in point-slope form. Slope \( =\frac{4}{5} \), passing through \( (7,4) \)

To write the equation of a line in point-slope form, you can use the formula \( y - y_1 = m(x - x_1) \), where \( m \) is the slope and \( (x_1, y_1) \) is the point the line passes through. Substituting the slope \( \frac{4}{5} \) and the point \( (7,4) \) into the formula gives you: \( y - 4 = \frac{4}{5}(x - 7) \). And there you have it, the equation of the line! Now you’re all set to graph this bad boy! Just plug in some values for \( x \) to find corresponding \( y \) values, or pick a few \( y \) values to find \( x \) values. You'll quickly see how this line stretches across the graph, showcasing that beautiful slope of \( \frac{4}{5} \). Happy graphing!