Mathematics: What is the slope of the line passing through the points (1, - 5) and (4, 1)?

What is the slope of the line passing through the

Ответ:

probro1167

03.02.2022

Mathematics

Step-by-step explanation:

We can use the two point to find the slope

m = (y2-y1)/(x2-x1)

= ( 1- -5)/(4-1)

= (1+5)/(4-1)

= 6/3

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Ответ:

aperez4102

13.10.2021

Mathematics

$\left\{\begin{array}{ccc}2x-y=8\\x+3y=11\end{array}\right\\\\\left\{\begin{array}{ccc}y=2x-8\\3y=-x+11&/:3\end{array}\right\\\\\left\{\begin{array}{ccc}y=2x-8\\y=-\frac{1}{3}x+\frac{11}{3}\end{array}\right$

$y=2x-8\\for\ x=0\to y=2\cdot0-8=-8\to A(0;-8)\\for\ x=4\to y=2\cdot4-8=8-8=0\to B(4;\ 0)\\\\y=-\frac{1}{3}x+\frac{11}{3}\\for\ x=-1\to y=-\frac{1}{3}\cdot(-1)+\frac{11}{3}=\frac{1}{3}+\frac{11}{3}=\frac{12}{3}=4\to C(-1;\ 4)\\for\ x=2\to y=-\frac{1}{3}\cdot2+\frac{11}{3}=-\frac{2}{3}+\frac{11}{3}=\frac{9}{3}=3\to D(2;\ 3)\\\\\\ \left\{\begin{array}{ccc}x=5\\y=2\end{array}\right$

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What is the slope of the line passing through the points (1, - 5) and (4, 1)?

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