how do i graph a fraction? like say I had y=3/4x+1, how could I create plot points that are whole numbers? please help.
do you mean
y = (3/4) x + 1
?
If so, then pick x values that are 0 and multiples of 4
if x = 0, y = 1 so (0,1)
if x = 4, y = 4 so (4,4)
that is all you need really since two points are enough for a straight line but to continue
if x = 8, y = 7 so (8,7)
if x = 12, y = 10 so (12,10)
etc
You will be very choicy to get whole number. Choose x as a multiply of 4 to get whole numbers. -4,-8,0,+4, +8 etc
can you explain it a bit more.. i don't fully understand.
When you have a four on the bottom of the fraction, multiplying by four or 2 times four or three times four or any whole number times four gets rid of the fraction. Therefore since you can find y for any x you choose, choose values for x that are multiples of four.
To graph a fraction like y = (3/4)x + 1 and create plot points that are whole numbers, you can follow the steps below:
1. Select a range of values for x: Choose a set of whole numbers for x that you want to plot. For example, let's use x = -4, -3, -2, -1, 0, 1, 2, 3, 4 as a range of x values.
2. Calculate corresponding y values: Substitute each x value from the range into the equation y = (3/4)x + 1 to find the corresponding y value. For instance:
- For x = -4: y = (3/4)(-4) + 1 = -3 + 1 = -2
- For x = -3: y = (3/4)(-3) + 1 = -9/4 + 1 = -5/4
- For x = -2: y = (3/4)(-2) + 1 = -3/2 + 1 = -1/2
- For x = -1: y = (3/4)(-1) + 1 = -3/4 + 1 = 1/4
- For x = 0: y = (3/4)(0) + 1 = 0 + 1 = 1
- For x = 1: y = (3/4)(1) + 1 = 3/4 + 1 = 7/4
- For x = 2: y = (3/4)(2) + 1 = 3/2 + 1 = 5/2
- For x = 3: y = (3/4)(3) + 1 = 9/4 + 1 = 13/4
- For x = 4: y = (3/4)(4) + 1 = 3 + 1 = 4
3. Plot the points: Take each pair of corresponding (x, y) values and plot them on your graph. For example:
- (-4, -2)
- (-3, -5/4)
- (-2, -1/2)
- (-1, 1/4)
- (0, 1)
- (1, 7/4)
- (2, 5/2)
- (3, 13/4)
- (4, 4)
4. Connect the points: Once you have plotted all the points, connect them with a straight line. This line represents the graph of the equation y = (3/4)x + 1.
Remember to label your axes with appropriate scales and units, and mark the plotted points clearly. This will ensure that your graph is accurate and easy to interpret.