Answer: y = 3x
Given the following points
(1, 3), (2, 6), (3, 9), (4, 12), (5, 15)
Firstly, we need to find the slope of the function by picking any two points on the table
Let us pick (1, 3) and (2, 6)
Slope = rise/run
rise = y2 - y1
run = x2 - x1
From the points picked
x1 = 1, y1 = 3, x2 = 2, and y2 = 6
Slope = y2 - y1 / x2 - x1
Slope = 6 - 3/2-1
Slope = 3/1
Slope = 3
The equation of a slope - intercept form is given as
y = mx + b
Where m = slope and b = intercept
(y - y1) = m(x - x1)
let x1 = 1 and y1 = 3
(y - 3) = 3(x - 1)
Open the parentheses
y - 3 = 3x - 3
y = 3x - 3 + 3
y = 3x + 0
y = 3x
Therefore, the equation for the linear function is y = 3x