A line is represented by y = -3x+6. A perpendicular line goes through (12,-2). What would be the slope intercept form for the perpendicular line?

The slope-intercept form of the perpendicular line is y =   x - 6

Step-by-step explanation:

The product of the slopes of the perpendicular lines is -1

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

∵ The equation of a line is y = -3x + 6

→ Compare it with the form of the equation above to find m

∴ m = -3

→ Reciprocal it and change its sign to find the slope of the ⊥ line

∵ The reciprocal of -3 with the opposite sign is

∴ m⊥ line =  

→ Substitute it in the form of the equation above

∴ y =   x + b

→ To find b substitute x and y in the equation by the coordinates

   of a point on the line

∵ The perpendicular line goes through (12, -2)

∴ x = 12 and y = -2

∵ -2 =   (12) + b

∴ -2 = 4 + b

→ Subtract 4 from both sides

∴ -2 - 4 = 4 - 4 + b

∴ -6 = b

→ Subustitute it in the equation above

∴ y =   x + -6

∴ y =   x - 6

The slope-intercept form of the perpendicular line is y =   x - 6

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step-by-step explanation:

the above table 1 will calculate the population size (n) after a certain length of time (t). all you need to do is plug in the initial population number (no), the growth rate (r) and the length of time (t). the constant (e) is already entered into the equation. it stands for the base of the natural logarithms (approximately 2.71828). growth rate (r) and time (t) must be expressed in the same unit of time, such as years, days, hours or minutes. for humans, population growth rate is based on one year. if a population of people grew from 1000 to 1040 in one year, then the percent increase or annual growth rate is 40/1000 x 100 = 4 percent.

step-by-step explanation: