Answer:
(-1, 5)
(0, 3)
(2, -1)
Step-by-step explanation:
we have

Remember that
If a ordered pair is a solution of the given function, then the ordered pair must satisfy the given function
<u><em>Verify each case</em></u>
case a) (-2, -1)
substitute the value of x and the value of y in the given function and compare the result

---> is not true
therefore
Is not a ordered pair of the given function
case b) (-1, 5)
substitute the value of x and the value of y in the given function and compare the result

---> is true
therefore
Is a ordered pair of the given function
case c) (0, 3)
substitute the value of x and the value of y in the given function and compare the result

---> is true
therefore
Is a ordered pair of the given function
case d) (1,0)
substitute the value of x and the value of y in the given function and compare the result

---> is not true
therefore
Is not a ordered pair of the given function
case e) (2, -1)
substitute the value of x and the value of y in the given function and compare the result

---> is true
therefore
Is a ordered pair of the given function
Answer:
Y = (1/3)X + 4
Step-by-step explanation:
You need to know the equation Y = mX + b, for two sets of coordinates
Therefore we need to find the slope and the interception of the given points.
1) The slope of the line
We can use the point slope form, and clear for the slope m
y - y1 = m (x-x1)
m = (y -y1) / (x -x1)
The data given is: A (3, 5) and B (0, 4)
Then substitute in the slope: m = (5 -4)) / (3 -0) = (1/3)
m = 1/3
2) Find the interception
From the general equation slope intercept Y = mX + b, clear b
b = Y - mX
Now substitute any given point to obtain b the interception
b = Y - mX
Lets choose point A (3, 5), remember m = 1/3
b =5 - (1/3)(3)= 4
b = 4
3) Therefore with the values of m and b, the general equation for the slope intercept form is:
Y = mX + b -->
Y = (1/3)X + 4
For the first one, they got rid of the 6x when they shouldn’t have, and the correct answer is x = 21.5
For the second one, 47 would be subtracted by 180, not 90, and the correct answer is 133
For the third one, 5x - 10 doesn’t equal 115, 5x - 10 equals 180 - 115, and the correct answer is x = 17
The answer is C. The explanation in the previous comment section is correct