Mathematics, 03.11.2020 18:20, MrJonezy4529

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?

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answered: anans

The slope-intercept form of the perpendicular line is y = $\frac{1}{3}$ x - 6

Step-by-step explanation:

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

If the slope of one of them is m, then the slope of the other is $-\frac{1}{m}$

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

m is the slopeb is the y-intercept

∵ 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 $\frac{1}{3}$

∴ m⊥ line = $\frac{1}{3}$

→ Substitute it in the form of the equation above

∴ y = $\frac{1}{3}$ 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 = $\frac{1}{3}$ (12) + b

∴ -2 = 4 + b

→ Subtract 4 from both sides

∴ -2 - 4 = 4 - 4 + b

∴ -6 = b

→ Subustitute it in the equation above

∴ y = $\frac{1}{3}$ x + -6

∴ y = $\frac{1}{3}$ x - 6

The slope-intercept form of the perpendicular line is y = $\frac{1}{3}$ x - 6

answered: Guest

the required function is $y=-x+4$ .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{4-7}{)}=\frac{-3}{3}=-1$

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

$y=mx+b$

where, m is slope and b is y-intercept.

$y=-1x+4$

$y=-x+4$

therefore the required function is $y=-x+4$ . the graph of this function is shown below.

answered: Guest

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction: this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology: the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion: the last is the discussion, this can be either by management people or persons who are all interested , etc.