This is supposed to be a table btw i need an equation for this please

input 0,1,2,3,4,
output 2,5,8,11,14

The equation is y = 3x + 2

Step-by-step explanation:

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

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

∵ 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 =

∴ 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

nlgqer

step-by-step

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)