For the given equation, find the slope and the y-intercept. Use these to graph the equation. \( 3 x+5 y=25 \) The slope of the equation is \( \square \). 3 . 3.3 .20 (Simplify your answer. Type an integer or a fraction.)

To find the slope and y-intercept, let's rearrange the equation \( 3x + 5y = 25 \) into the slope-intercept form \( y = mx + b \). First, isolate \( y \): 1. Subtract \( 3x \) from both sides: \( 5y = -3x + 25 \) 2. Divide everything by \( 5 \): \( y = -\frac{3}{5}x + 5 \) From this form, the slope \( m \) is \( -\frac{3}{5} \) and the y-intercept \( b \) is \( 5 \). The slope is \( -\frac{3}{5} \) and the y-intercept is \( 5 \). Now, graphing this is a piece of cake! Plot the y-intercept at (0, 5) on the y-axis. Then, from this point, use the slope to find another point: move down 3 units and right 5 units to arrive at (5, 2). Connect these points, and voila! You have yourself a lovely line!