Create a formula for the points (1,5)

Question

, (2,7)
, (3,9)
, and (4,11)
.(1 point)
Responses

y=−2x+3
y equals negative 2 x plus 3

y=2x−3
y equals 2 x minus 3

y=−2x−3
y equals negative 2 x minus 3

y=2x+3

Answer 1

To find the formula for the points (1,5), (2,7), (3,9), and (4,11), we can determine the slope (\(m\)) of the line connecting these points.

1. Use any two points to calculate the slope: \[ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{7 - 5}{2 - 1} = \frac{2}{1} = 2 \]

2. Now we have the slope \(m = 2\). We can use the point-slope form of the line \(y - y_1 = m(x - x_1)\). Using point (1, 5): \[ y - 5 = 2(x - 1) \] Expanding this equation: \[ y - 5 = 2x - 2 \] \[ y = 2x + 3 \]

Thus, the formula that fits the points is: \[ \boxed{y = 2x + 3} \]