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The Deep Dive
To graph the line represented by the equation \( y = -3x - 2 \), start by finding the y-intercept. When \( x = 0 \), \( y = -2 \). Plot the point \( (0, -2) \) on the graph. Next, use the slope, which is -3 (meaning for every 1 unit you move to the right, you move down 3 units). From the y-intercept, move 1 unit to the right to \( (1, -2) \) and then down 3 units to \( (1, -5) \). Plot this second point too and draw a line through both points. Remember, the slope indicates direction. A negative slope like -3 means your line will tilt downward as you move from left to right. Enjoy plotting!
