Question

This is supposed to be a table btw

Answer 1

Answer:

The equation is y = 3x + 2

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

• m is the slope of the line which represent the equation

• b is the y-intercept which is value y at x = 0

The rule of the slope is m = Δy/Δx, where

• Δx = x2 - x1 and Δy = y2 - y1

• (x1, y1) and (x2, y2) are two points on the line.

∵ x is the input

∵ Input: 0, 1, 2, 3, 4

∵ y is the output

∵ output: 2, 5, 8, 11, 14

∴ The points on the line are (0, 2), (1, 5), (2, 8), (3, 11), and (4, 14)

→ Use any two points to find m

∵ x1 = 0 and y1 = 2

∵ x2 = 1 and y2 = 5

→ Find Δx and Δy

∴ Δx = 1 - 0 = 1

∴ Δy = 5 - 2 = 3

→ Substitute them in the rule of the slope above

∵ m = $\frac{3}{1}$

∴ m = 3

∵ b is the value of y at x = 0

∵ At x = 0, y = 2

∴ b = 2

→ Substitute the values of m and b in the form of the equation above

∵ y = 3x + 2

∴ The equation is y = 3x + 2