Question

Create a formula for the points  (1,5) ,  (2,7) ,  (3,9) , and  (4,11) .(1 point)
Responses

y=2x−3
y equals 2 x minus 3

y=−2x−3
y equals negative 2 x minus 3

y=2x+3
y equals 2 x plus 3

y=−2x+3
y equals negative 2 x plus 3

Answer 1

Since the given points are (1,5), (2,7), (3,9), and (4,11), we can use the points to determine the slope of the line. The slope, denoted as m, is equal to the change in y divided by the change in x between any two points.

For example, between (1,5) and (2,7), the change in y is 7-5=2 and the change in x is 2-1=1. Therefore, the slope is 2/1=2.

We can repeat this process for the other points as well:

Between (2,7) and (3,9), the change in y is 9-7=2 and the change in x is 3-2=1. Therefore, the slope is 2/1=2.

Between (3,9) and (4,11), the change in y is 11-9=2 and the change in x is 4-3=1. Therefore, the slope is 2/1=2.

Since the slope is consistent for all pairs of points, we can conclude that the equation of the line passing through these points is y=2x-3.