how do i graph y=1/2x-3
well according to the equation y = mx + b, where m = slope and b = y-intercept, the graph hits the y-axis at b = -3 and the slope is 1/2. Remember m moves according to rise/run, so move one integer up then two over to get to the next point on the graph.
To graph y = 1/2x - 3, follow these steps:
1. Start by plotting the y-intercept. The y-intercept is the point where the graph intersects the y-axis. In this case, the y-intercept is at -3, so plot a point at (0, -3).
2. Next, use the slope to find another point. The slope is 1/2, which means that for every 1 unit increase in the x-coordinate, the y-coordinate increases by 1/2. To find the next point, start from (0, -3) and move 2 units to the right (because the slope is 1/2), then move 1 unit up (because the slope increases by 1/2 for every 1 unit increase in x). This will give you the point (2, -2.5).
3. Now, draw a straight line passing through the two points you plotted. This line represents the graph of y = 1/2x - 3.
Remember, if you need more points to make the line more accurate, you can repeat step 2 by choosing different x-coordinates and finding their corresponding y-coordinates based on the slope.
That's how you can graph the equation y = 1/2x - 3!