Find the slope of the line perpendicular to y=−2x+3

Elise Kelley
2022-10-23
Answered

Find the slope of the line perpendicular to y=−2x+3

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Warkallent8

Answered 2022-10-24
Author has **16** answers

y=2x+3

To find the slope of a line perpendicular to a given line, find the slope of the given line.The slope of y=−2x+3 is −2. (To find the slope, make sure the line is in y = mx + b form.)

The slope is the coefficient of x when in that form. The given line is this problem was already in the correct form.

To find the perpendicular slope, simply take the negative reciprocal of the given slope and change the sign. Our given slope was −2 so the perpendicular slope is .$\frac{1}{2}$

To find the slope of a line perpendicular to a given line, find the slope of the given line.The slope of y=−2x+3 is −2. (To find the slope, make sure the line is in y = mx + b form.)

The slope is the coefficient of x when in that form. The given line is this problem was already in the correct form.

To find the perpendicular slope, simply take the negative reciprocal of the given slope and change the sign. Our given slope was −2 so the perpendicular slope is .$\frac{1}{2}$

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I understand how to solve linear congruence if the equation is in the form of, example: $4x\equiv 5\phantom{\rule{0.444em}{0ex}}(\mathrm{mod}\phantom{\rule{0.333em}{0ex}}9)$ or $x+5\equiv 2\phantom{\rule{0.444em}{0ex}}(\mathrm{mod}\phantom{\rule{0.333em}{0ex}}11).$

My problem is, I don't know exactly what to do with the −7 part of the (5x−7) equation.

My problem is, I don't know exactly what to do with the −7 part of the (5x−7) equation.

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In a previous task, I determined a polynomial interpolation using a system of linear equations.

The data points to be used were

$((0,f(0)),(\frac{1}{6},f(\frac{1}{6})),(\frac{1}{4},f(\frac{1}{4})))$

The linear equation used was of the form:

$(({0}^{2},{0}^{1},{0}^{0}),({\frac{1}{6}}^{2},{\frac{1}{6}}^{1},{\frac{1}{6}}^{0}),({\frac{1}{4}}^{2},{\frac{1}{4}}^{1},{\frac{1}{4}}^{0}))$

$(({a}_{2}),({a}_{1}),({a}_{0}))$

$((0),(\frac{1}{\sqrt{3}}),(1))$

and the polynomial of the form

$p}_{2}\left(x\right)={a}_{0}+{a}_{1}x+{a}_{2}{x}^{2$

was determined to have the coefficients

$a}_{0}=0,{a}_{1}=-8+\frac{18}{\sqrt{3}},{a}_{2}=48-\frac{72}{\sqrt{3}$

I am not aware of how I would use a system of linear equations to determine Q(x). Is it perhaps possible to derive the coefficients from p2? Or is there some other method of interpolation I should pursue?

The data points to be used were

The linear equation used was of the form:

and the polynomial of the form

was determined to have the coefficients

I am not aware of how I would use a system of linear equations to determine Q(x). Is it perhaps possible to derive the coefficients from p2? Or is there some other method of interpolation I should pursue?

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I have a system of linear equations of the form

$\sum _{j=1}^{n}2{x}_{j}{k}_{ij}\in \mathbb{Z},{\textstyle \phantom{\rule{1em}{0ex}}}i=1,\dots ,m$

or equivalently

$2K\cdot \overrightarrow{x}\in {\mathbb{Z}}^{n}$

where K is an integer matrix with orthogonal rows and columns, such that the GCD of every row and every column is 1, and$\overrightarrow{x}$ is a vector of real numbers.

what are the constraints on$\overrightarrow{x}$ ?

or equivalently

where K is an integer matrix with orthogonal rows and columns, such that the GCD of every row and every column is 1, and

what are the constraints on