Graph the equation using the slope and the \( y \)-intercept. \( y=-\frac{8}{3} x-8 \)
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To graph the equation \( y = -\frac{8}{3} x - 8 \), start by plotting the \( y \)-intercept. Here, the \( y \)-intercept is -8, meaning you place a point at (0, -8) on the graph. Next, use the slope, which is \( -\frac{8}{3} \). This indicates a decrease of 8 units in \( y \) for a rise of 3 units in \( x \). From (0, -8), move right 3 units (to \( x=3 \)) and down 8 units (to \( y=-16 \)) to mark the second point. Draw a straight line through the two points to complete the graph! Want to spice up your graphing skills? Next time, try using graph paper or a graphing tool online! Experiment with different equations to see how changes in slope and intercept affect the line’s position. It's like making art with math—a fun way to enhance your understanding!
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