Where is y=1/4x-5/2 on a graph
To graph the equation y = (1/4)x - 5/2, we can start by plotting the y-intercept, which is -5/2. This means that the line crosses the y-axis at -5/2 or -2.5.
Next, we can find the slope by comparing the coefficient of x, which is 1/4. Since the coefficient is positive, the line slopes upward as we move from left to right.
With a slope of 1/4, we can take a point on the line and move in increments of 4 units horizontally (right) and 1 unit vertically (up) to find additional points.
For example, if we start at the y-intercept (-2.5), we can move 4 units to the right and 1 unit up, which gives us the coordinates (1, -1.5). We can continue this pattern to find more points:
(-8, -7) -> Move 4 left and 1 down.
(12, -2) -> Move 4 right and 1 up.
(-20, -10.5) -> Move 4 left and 1 down.
(16, -1) -> Move 4 right and 1 up.
After plotting these points and connecting them with a straight line, we would have the graph of y = (1/4)x - 5/2.
To graph the equation y = (1/4)x - (5/2), you can follow these steps:
Step 1: Choose a range of values for x.
Select a few values for x, such as -10, -5, 0, 5, and 10. These values will help us determine corresponding y-coordinates to plot on the graph.
Step 2: Calculate the y-coordinates.
Use the equation y = (1/4)x - (5/2) and substitute each value of x into the equation to find the corresponding y-values. For example:
- When x = -10:
y = (1/4)(-10) - (5/2)
y = -10/4 - 5/2
y = -5/2 - 5/2
y = -10/2
y = -5
- When x = -5:
y = (1/4)(-5) - (5/2)
y = -5/4 - 5/2
y = -5/4 - 10/4
y = -15/4
- Continue this process for the other selected x-values.
Step 3: Plot the points on the graph.
Using the x- and y-coordinates calculated in Step 2, plot the points on the graph. For example, if we use the values (-10, -5), (-5, -15/4), (0, -5/2), (5, -5/4), and (10, -3/2), mark these points on the graph.
Step 4: Connect the points.
Once the points are plotted, connect them with a straight line. The line passing through these points represents the graph of the equation y = (1/4)x - (5/2).
Now you have successfully graphed the equation y = (1/4)x - (5/2)!
To graph the equation y = 1/4x - 5/2, we can start by plotting a few points and then connecting them to create a line.
Step 1: Start by assigning values to x and solving for y:
If we choose x = 0, then y = 1/4(0) - 5/2 = -5/2.
If we choose x = 2, then y = 1/4(2) - 5/2 = -3/2.
If we choose x = 4, then y = 1/4(4) - 5/2 = -1/2.
If we choose x = -2, then y = 1/4(-2) - 5/2 = -7/2.
If we choose x = -4, then y = 1/4(-4) - 5/2 = -9/2.
Step 2: Plot the points we just found: (0, -5/2), (2, -3/2), (4, -1/2), (-2, -7/2), (-4, -9/2).
Step 3: Connect the points with a straight line. Since the equation is linear, the line will continue infinitely in both directions.
That's it! You have graphed the equation y = 1/4x - 5/2.