Graph this line using the slope and \( y \)-intercept: \[ y=\frac{3}{5} x+4 \] Click to select points on the graph.

Function by following steps: - step0: Find the y-intercept: \(y=\frac{3}{5}x+4\) - step1: Set \(x\)=0\(:\) \(y=\frac{3}{5}\times 0+4\) - step2: Multiply: \(y=0+4\) - step3: Remove 0: \(y=4\) Analyze the slope of the function \( y=\frac{3}{5}x+4 \) Function by following steps: - step0: Find the slope: \(y=\frac{3}{5}x+4\) - step1: Identify the slope: \(m=\frac{3}{5}\) To graph the line given by the equation \[ y = \frac{3}{5} x + 4 \] we can identify the slope and the \( y \)-intercept: 1. **Slope (\( m \))**: The slope of the line is \( \frac{3}{5} \). This means that for every 5 units you move to the right (in the positive \( x \) direction), the line rises 3 units (in the positive \( y \) direction). 2. **\( y \)-intercept**: The \( y \)-intercept is 4, which means the line crosses the \( y \)-axis at the point \( (0, 4) \). ### Steps to Graph the Line: 1. **Plot the \( y \)-intercept**: Start by plotting the point \( (0, 4) \) on the graph. 2. **Use the slope to find another point**: From the point \( (0, 4) \), use the slope \( \frac{3}{5} \): - Move 5 units to the right (to \( x = 5 \)). - Move 3 units up (to \( y = 7 \)). - This gives you the point \( (5, 7) \). 3. **Draw the line**: Connect the points \( (0, 4) \) and \( (5, 7) \) with a straight line, extending it in both directions. ### Points to Select on the Graph: - \( (0, 4) \) (the \( y \)-intercept) - \( (5, 7) \) (using the slope) You can also find additional points by continuing to apply the slope or by substituting other \( x \) values into the equation.