Which ordered pairs are solutions to the inequality
1 answer:
Answer:
(1,-1)
(7,12)
(5,-3)
Step-by-step explanation:
we know that
If a ordered pair is a solution of the inequality, then the ordered pair must satisfy the inequality
we have
Verify each case
case 1) we have
(1,-1)
substitute the value of x and the value of y in the inequality and then compare the results
----> is true
therefore
The ordered pair is a solution of the inequality
case 2) we have
(7,12)
substitute the value of x and the value of y in the inequality and then compare the results
----> is true
therefore
The ordered pair is a solution of the inequality
case 3) we have
(-6,-3)
substitute the value of x and the value of y in the inequality and then compare the results
----> is not true
therefore
The ordered pair is not a solution of the inequality
case 4) we have
(0,-2)
substitute the value of x and the value of y in the inequality and then compare the results
----> is not true
therefore
The ordered pair is not a solution of the inequality
case 5) we have
(5,-3)
substitute the value of x and the value of y in the inequality and then compare the results
----> is true
therefore
The ordered pair is a solution of the inequality
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Answer:
An equation relating x and y is:
y = 3/4x - 5.5
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
- m is the slope
- b is the y-intercept
Given the points
(2, -4), (x, y), A(6, -1), and B(10, 2)
Taking any two points let say A(6, -1), and B(10, 2) to determine the slope
Refine
We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = -5.5
Thus, the y-intercept b = -5.5
Thus, substituting b = -5.5 and m = 3/4 in the slope-intercept form of the line equation
y = mx+b
y = 3/4x + (-5.5)
y = 3/4x - 5.5
Therefore, an equation relating x and y is:
y = 3/4x - 5.5
Check the picture below.
make sure your calculator is in Degree mode.
