What is the slope of the line represented by the equation y = –y equals -2/3 minus 5 x. – 5x?

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

4 0

Answer:

y=5x+2/3

Step-by-step explanation:

if y is negative you put that first equaling -5x because you are subtracting -2/3

seeing as the y has to be positive in the equation therefore you must multiply the whole equation by a negative in order to get the y to be postitive.

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Sam is observing the velocity of a car at different times. After two hours, the velocity of the car is 50 km/h. After six hours,

Alexeev081 [22]

Part A)

$\bf \begin{array}{ccllll}
hours(x)&velocity(y)\\
-----&-----\\
2&50\\
6&54
\end{array}\\\\
-------------------------------\\\\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 2}}\quad ,&{{ 50}})\quad 
% (c,d)
&({{ 6}}\quad ,&{{ 54}})
\end{array}$

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{54-50}{6-2}\implies \cfrac{4}{4}\implies 1
\\\\\\
% point-slope intercept
y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-50=1(x-2)\\
\left. \qquad \right. \uparrow\\
\textit{point-slope form}
\\\\\\
y-50=x-2\implies \boxed{y-x=48}\impliedby 
\begin{array}{llll}
standard\\
form
\end{array}$

part B)

well, to graph a LINEar equation, since it's just a LINE, you simply need two points to graph a line, and since we know that y - x = 48.... if you want to know what's "y" when x = 7? or 7 hours, well

y - (7) = 48
y = 48 + 7
y = 55

so.. that's the point for the 7th hour, 7, 55, and you can pick any other point above, and graph it away.

6 0

3 years ago

I need it by 11:59 :)))))) plssssssssssss tyty ty ty ty ty ty

Phantasy [73]

Answer:

$- 4 < x \leqslant 5$