Questions: Question 17, 3.4.37 Graph the linear equation using the slope and y-intercept. y = -(7/3) x Use the graphing tool to graph the equation. Plot the y-intercept and then plot second point using the rise over run of the slope, starting at the y-intercept.

Solution Steps

The given linear equation is \( y = -\frac{7}{3}x \). This equation is in the slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. Here, \( b = 0 \), so the y-intercept is at the point (0, 0).

The slope \( m \) of the equation is \( -\frac{7}{3} \). This means for every 3 units you move to the right (positive direction on the x-axis), you move 7 units down (negative direction on the y-axis).

1. Plot the y-intercept (0, 0) on the graph.
2. From the y-intercept, move 3 units to the right (positive x-direction) and 7 units down (negative y-direction) to find the second point. This point is (3, -7).

Final Answer