Given two points. we can find the equation of a line passing through the points
The formula to be used is:
where
=>
The next step is to cross multiply
=>
Divide both sides by 6 and make x the subject
x=3
Which relation represents the pattern in the table of values?
1 answer:
Answer:
y = 3x + 2
Step-by-step explanation:
The easiest way to do this, would be to substitute a point (e.g., (2,8)) into your equations to find the one that is true.
(2, 8)
y = 3x - 2
8 = 3(2) - 2
8 = 6 - 2
8 = 4
This statement is false
(2, 8)
y = 3x + 2
8 = 3(2) + 2
8 = 6 + 2
8 = 8
This statement is true
(2, 8)
y = 2x - 3
8 = 2(2) - 3
8 = 4 - 3
8 = 1
This statement is false
(2, 8)
y = 2x + 3
8 = 2(2) + 3
8 = 4 + 3
8 = 7
Therefore, b is the correct answer.
Hope this helps!
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Commenter jdoe said it right: solve for y and leave the rest on the other side.
-x + 3y = 6
3y = 6 + x add x on both sides
3y = x + 6 rearrange to get the x first
y = (x + 6) /3 divide both sides by 3
y = x/3 + 6/3 split the numerator (caution - never split denominators)
y = x/3 + 2 simplify 6/3
Thus the line in slope intercept form of y = mx + b is y =
The equation is given as
The Amplitude can be calculated as
The vertical shift is the average difference between the maximum and minimum.
For b value
The Time Period will be twice the distance between max and min.
The period is calculated as
The equation is given as
Learn more on time period and amplitude here;
