Determine the equation of the line that goes through

Ответ:

jordanwrighta1

18.03.2022

Mathematics

The equation of the line that goes through points (1,1) and (3,7) is $\mathbf{y=3x-2}$

Step-by-step explanation:

Determine the equation of the line that goes through points (1,1) and (3,7)

We can write the equation of line in slope-intercept form y=mx+b where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding Slope

Slope can be found using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We have x_1=1, y_1=1, x_2=3, y_2=7

Putting values and finding slope

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{7-1}{3-1}\\Slope=\frac{6}{2}\\Slope=3$

We get Slope = 3

Finding y-intercept

y-intercept can be found using point (1,1) and slope m = 3

$y=mx+b\\1=3(1)+b\\1=3+b\\b=1-3\\b=-2$

We get y-intercept b = -2

So, equation of line having slope m=3 and y-intercept b = -2 is:

$y=mx+b\\y=3x-2$

The equation of the line that goes through points (1,1) and (3,7) is $\mathbf{y=3x-2}$

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Ответ:

ineedhelp2285

17.05.2021

Mathematics

How to get answer by Mimiwhatsup:

$Multiply\:without\:the\:decimal\:points,\:then\:put\:the\:decimal\:point\:in\:the\:answer\\284\times \:39\\Line\:up\:the\:numbers\\\begin{matrix}\space\space&2&8&4\\ \mathrm{x}&\space\space&3&9\end{matrix}\\$

Multiply the top number by the bottom number one digit at a time starting with the ones digit (from left to right)

$Multiply\:the\:top\:number\:by\:the\:bolded\:digit\:of\:the\:bottom\:number\\\begin{matrix}\space\space&\textbf{2}&\textbf{8}&\textbf{4}\\ \mathrm{x}&\space\space&3&\textbf{9}\end{matrix}\\\mathrm{Mutliply\:the\:bold\:numbers}:\quad \:4\times \:9=36\\\mathrm{Carry\:}3\mathrm{\:to\:the\:column\:on\:the\:left\:and\:write\:}6\mathrm{\:in\:the\:result\:line}\\$

$\frac{\begin{matrix}\space\space&\space\space&3&\space\space\\ \space\space&2&8&\textbf{4}\\ \mathrm{x}&\space\space&3&\textbf{9}\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&6\end{matrix}}\\\mathrm{Add\:the\:carried\:number\:to\:the\:multiplication}:\quad \:3+8\times \:9=75\\\mathrm{Carry\:}7\mathrm{\:to\:the\:column\:on\:the\:left\:and\:write\:}5\mathrm{\:in\:the\:result\:line}$

Repeat the same steps and multiply and carry the numbers then add them to get an answer of: 11.076

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Determine the equation of the line that goes through points (1.1) and (3.7).

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