In the sequence below, 9 is the first term when x=1. what is the equation? 9,13,17,21,25
1 answer:
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We can use the two point form to find the answer:
Where y1 is the y coordinate(coordinate on the right hand side of (-9)) of the of the first coordinates, and y2 is the y coordinates of the second coordinates given (0).
While x1(-9) and x2(-6) are the x-coordinates(left hand side of the coordinates) of the coordinates given seperately.
m is the slope of the two points, and the formula is:
In this case:
We can then proceed to find the eqaution by putting *one* of the points into the two-point formula.
Put (-6，0) into the formula:
-0-y = 3(-6-x)
-y = -18 - 3x
y = -(-18 - 3x)
y = 18 + 3x
Therefore the answer is y= 18+3x.
Hope it helps!
Where y1 is the y coordinate(coordinate on the right hand side of (-9)) of the of the first coordinates, and y2 is the y coordinates of the second coordinates given (0).
While x1(-9) and x2(-6) are the x-coordinates(left hand side of the coordinates) of the coordinates given seperately.
m is the slope of the two points, and the formula is:
In this case:
We can then proceed to find the eqaution by putting *one* of the points into the two-point formula.
Put (-6，0) into the formula:
-0-y = 3(-6-x)
-y = -18 - 3x
y = -(-18 - 3x)
y = 18 + 3x
Therefore the answer is y= 18+3x.
Hope it helps!