Graph the equation and identify the y intercept y= 3/2x -4. Thanks

To graph the equation y = (3/2)x - 4 and identify the y-intercept, follow these steps:

Step 1: Start by understanding the equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
In your equation, the slope is 3/2, and the y-intercept is -4.

Step 2: Begin by plotting the y-intercept on the y-axis. Since the y-intercept is -4, mark a point on the y-axis at (-4, 0).

Step 3: Use the slope to find further points on the graph. The slope 3/2 tells us that for every 2 units you move to the right (x-axis), the corresponding y-value moves up 3 units. So, starting from the y-intercept (-4, 0), move 2 units to the right and 3 units up, and mark a new point. This gives us the point (0, 3).

Step 4: Connect the two points you've plotted, (-4, 0) and (0, 3), with a straight line. This line represents the graph of the equation y = (3/2)x - 4.

Step 5: Add arrowheads to both ends of the line to indicate that it continues indefinitely.

Step 6: Label the y-intercept point as (-4, 0).

That's it! You have graphed the equation y = (3/2)x - 4 and identified the y-intercept.