which procedure could be used to graph the following equation
y=1/4x-1
plot the y-intercept (0,-1) and use the slope of 1/4 to find the second point
plot the y-intercept (0,1/4) and use the slope of -1 to find the second point
plot the x-intercept (1/4,0) and use the slope of -1 to find the second point
plot the x-intercept (-1,0) and use the slope of 1/4 to find the second point
The correct procedure to graph the equation y = 1/4x - 1 would be:
1. First, plot the y-intercept, which is (0, -1).
2. Then, use the slope of 1/4 to find the second point. Since the slope is positive, move up one unit and right four units from the y-intercept. This gives you the point (4, 0).
3. Connect the two points with a straight line.
The other options mentioned are not correct because they do not follow the correct y-intercept and slope to find the second point.
To graph the equation y = (1/4)x - 1, you can follow the given steps:
Step 1: Plot the y-intercept.
The y-intercept represents the point where the line crosses the y-axis. In this case, the y-intercept is (0, -1). Plot this point on the graph.
Step 2: Use the slope to find the second point.
The slope of the equation is 1/4, which means that for every 1 unit increase in x, y increases by 1/4 unit. You can use this information to find a second point on the graph.
Start from the y-intercept (0, -1) and use the slope of 1/4 to find the second point. Since the slope is positive, move 1 unit to the right and 1/4 unit up from the y-intercept. This gives you the point (1, -3/4). Plot this point on the graph.
Step 3: Plot the x-intercept.
The x-intercept represents the point where the line crosses the x-axis. To find this point, substitute y = 0 into the equation and solve for x.
0 = (1/4)x - 1
1 = (1/4)x
4 = x
So, the x-intercept is (4, 0). Plot this point on the graph.
Step 4: Use the slope to find the fourth point.
Since the slope is 1/4, you can start from the x-intercept (4, 0) and move 1 unit to the right and 1/4 unit up. This gives you the point (5, 1/4). Plot this point on the graph.
Step 5: Connect the dots.
Now that you have plotted the points (0, -1), (1, -3/4), (4, 0), and (5, 1/4), connect them with a straight line. This line represents the graph of the equation y = (1/4)x - 1.
That's it! You have successfully graphed the equation y = (1/4)x - 1.
To graph the equation y = (1/4)x - 1, you can follow the given steps:
1. Plot the y-intercept: The y-intercept occurs when x = 0. So, plot the point (0, -1) on the graph. This point represents the coordinate where the line intersects the y-axis.
2. Use the slope to find the second point: The slope of the equation is 1/4. This means that for every 1 unit increase in the x-coordinate, the y-coordinate increases by 1/4 unit.
- Starting from the y-intercept (0, -1), move 1 unit to the right (increase x by 1) and go up by 1/4 unit.
This gives you the second point (1, -3/4). Plot this point on the graph.
3. Plot additional points to verify the line:
- Plotting the y-intercept (0, -1) and the second point (1, -3/4) may be sufficient, but you can also plot additional points to ensure accuracy.
- Another option would be to follow the given steps in reverse, starting from the y-intercept:
- Plot the y-intercept (0, -1) and use the slope of -1. Moving 1 unit to the left and down by 1 (since the slope is negative), you get the point (-1, -2).
- Plot the x-intercept (1/4, 0) and use the slope of -1. Moving 1 unit to the right (since the x-coordinate is positive) and down by 1 (since the slope is negative), you get the point (5/4, -1).
4. Connect the points: Once you have plotted enough points, use a straightedge or ruler to connect them. This line represents the graph of the equation y = (1/4)x - 1.