Number one which table of values can be used to graph the function Y= - 4X +3
you create a table. give arbritrary values for x, compute the value of the corresponding y.
for example
x,y = 0,3
x,y= 1,-1
To graph the function y = -4x + 3, you need to choose a set of x-values and calculate the corresponding y-values. Here's how you can do it:
1. Choose a set of x-values that you want to use for your graph. It's best to choose a range of values that span a sufficient range on both sides of the y-axis. For simplicity, let's choose x-values from -3 to 3.
2. Substitute each x-value into the equation y = -4x + 3 and calculate the corresponding y-value.
- When x = -3:
y = -4(-3) + 3
y = 12 + 3
y = 15
- When x = -2:
y = -4(-2) + 3
y = 8 + 3
y = 11
- When x = -1:
y = -4(-1) + 3
y = 4 + 3
y = 7
- When x = 0:
y = -4(0) + 3
y = 0 + 3
y = 3
- When x = 1:
y = -4(1) + 3
y = -4 + 3
y = -1
- When x = 2:
y = -4(2) + 3
y = -8 + 3
y = -5
- When x = 3:
y = -4(3) + 3
y = -12 + 3
y = -9
3. Create a table with two columns, one for x-values and one for y-values. Fill in the calculated values from step 2.
x | y
-----
-3 | 15
-2 | 11
-1 | 7
0 | 3
1 | -1
2 | -5
3 | -9
Now, you have the table of values that can be used to graph the function y = -4x + 3.