Find the constant of proportionality k. Then write an equation for the relationship between x and y.

Mathematics

1 answer:

egoroff_w [7]3 years ago

3 0

Answer:

k= 5

Equation is: y=5x

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What is the approximate distance between the points (-3, -4) and (-8, 1) on a coordinate grid

tatyana61 [14]

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ -3 &,& -4~) 
% (c,d)
&&(~ -8 &,& 1~)
\end{array}\\\\\\ % distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
d=\sqrt{[-8-(-3)]^2+[1-(-4)]^2}\implies d=\sqrt{(-8+3)^2+(1+4)^2}
\\\\\\
d=\sqrt{25+25}\implies d=\sqrt{2\cdot 25}\implies d=\sqrt{2\cdot 5^2}\implies d=5\sqrt{2}$