the equationof a linear relation is y=4x-3. find the missing number in each ordered pair
(2,_) (_,-11) (_, 13)
For each point, plug in the given value and evaluate the missing one
e.g. 2nd one
(_,-11) , so you are given y = -11
-11 = 4x - 3
-8 = 4x , added 3 to both sides
x = -2, so your point is (-2,-11)
To find the missing number in each ordered pair, we can substitute the given x-coordinate into the equation and solve for y.
For the first ordered pair (2,_):
Using the equation y = 4x - 3, substitute x = 2:
y = 4(2) - 3
y = 8 - 3
y = 5
Therefore, the missing number in the first ordered pair is 5.
For the second ordered pair (_, -11):
Using the equation y = 4x - 3, substitute y = -11:
-11 = 4x - 3
Add 3 to both sides of the equation:
-11 + 3 = 4x - 3 + 3
-8 = 4x
Divide both sides by 4:
-8/4 = 4x/4
-2 = x
Therefore, the missing number in the second ordered pair is -2.
For the third ordered pair (_, 13):
Using the equation y = 4x - 3, substitute y = 13:
13 = 4x - 3
Add 3 to both sides of the equation:
13 + 3 = 4x - 3 + 3
16 = 4x
Divide both sides by 4:
16/4 = 4x/4
4 = x
Therefore, the missing number in the third ordered pair is 4.
To find the missing number in each ordered pair, we can substitute the given values into the equation and solve for the missing number.
Let's start with the ordered pair (2, _):
The given equation is y = 4x - 3. We have x = 2, so we substitute this value into the equation:
y = 4(2) - 3
y = 8 - 3
y = 5
Therefore, the missing number in the ordered pair (2, _) is 5.
Moving on to the ordered pair (_, -11):
Again, we use the equation y = 4x - 3. This time, we are given y = -11. So we substitute this value into the equation and solve for x:
-11 = 4x - 3
Adding 3 to both sides:
-11 + 3 = 4x - 3 + 3
-8 = 4x
Dividing both sides by 4:
-8/4 = 4x/4
-2 = x
Therefore, the missing number in the ordered pair (_, -11) is -2.
Finally, let's find the missing number in the ordered pair (_, 13):
Using the equation y = 4x - 3, we have y = 13. Substituting this value into the equation gives us:
13 = 4x - 3
Adding 3 to both sides:
13 + 3 = 4x - 3 + 3
16 = 4x
Dividing both sides by 4:
16/4 = 4x/4
4 = x
Therefore, the missing number in the ordered pair (_, 13) is 4.