Question 2 of 14, Step 1 of 1 Find the slope and \( y \)-intercept of the following linear equation. Express the \( y \)-intercept as a coordinate pair. \[ y=-\frac{3}{4} x \]

To find the slope and \( y \)-intercept of the equation \( y = -\frac{3}{4} x \), it helps to recognize that this equation is already in slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. Here, the slope \( m \) is -\(\frac{3}{4}\), indicating the line decreases as \( x \) increases. The y-intercept \( b \) is 0 (when \( x = 0 \)), meaning the coordinate pair for the y-intercept is (0, 0). By understanding the slope and intercept, you can create a quick sketch of the line! Just remember, every time \( x \) increases by 4, \( y \) will drop by 3, forming a neat downward slope. To visualize better, you can plot this line on a graph. Start at the y-intercept (0, 0) and use the slope to find another point: move right 4 units (to \( x = 4 \)) and then down 3 units (to \( y = -3 \)). Connect those dots, and voilà! You’ve got yourself a linear equation on the graph!