To find the formula for the points (1, 5), (2, 7), (3, 9), and (4, 11), we can determine the equation of a straight line that passes through these points.
Using the point-slope form of the equation of a line, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line, we can choose any two of the given points to find the slope.
Let's choose the points (1, 5) and (2, 7):
m = (y2 - y1) / (x2 - x1)
= (7 - 5) / (2 - 1)
= 2 / 1
= 2
Now that we have the slope, we can substitute it and choose one of the points to find the equation of the line. Let's use the point (1, 5):
y - y1 = m(x - x1)
y - 5 = 2(x - 1)
y - 5 = 2x - 2
y = 2x + 3
Therefore, the formula for the points (1, 5), (2, 7), (3, 9), and (4, 11) is:
A. y = 2x + 3
Create a formula for the points (1, 5), (2, 7), (3, 9), and (4, 11).
A. y = 2x + 3
B. y = -2x - 3
C. y = -2x + 3
D. y = 2x - 3
1 answer