The slope of the graph of y = 5x isPlease answer ASAP

Mathematics

2 answers:

Katyanochek1 [597]4 years ago

6 0

The slope of the graph of [ Y = 5x ] is 5 .

professor190 [17]4 years ago

3 0

Answer:

Step-by-step explanation:

The general form of the equation for a line is:

$y=mx+b$

where the number $m$ that accompanies the x is the slope of the line, and the number $b$ is called the y-intercept of the line.

In this case we have the equation:

$y=5x$

we can see that we don't have any number added, so in this line $b=0$ , and the number that accompanies the x is 5, so

$m=5$ which is the slope of the line

So the answer is 5.

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The system of equations is given:

Nutka1998 [239]

Answer:

x=-1/85; y=-283/85; z=2/17

Step-by-step explanation:

Using an algebraic method like elimination or substitution would take a lot of steps which could lead to mistake the calculations. In this case, I decided to use the Gaussian elimination. We can express the system in matrix form as follows:

$\left[\begin{array}{ccc}2&-4&6\\9&-3&1\\5&0&9\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}14\\10\\1\end{array}\right]$

To begin the calculations, we write the system in augmented matrix form and use the Gaussian elimination:

$\left[\begin{array}{ccccc}2&-4&6&|&14\\9&-3&1&|&10\\5&0&9&|&1\end{array}\right]$

By applying the Gaussian elimination, the final matrix is the following:

$\left[\begin{array}{ccccc}1&0&0&|&-1/85\\0&1&0&|&-283/85\\0&0&1&|&2/17\end{array}\right]$

In order to verify the results, it´s enough to substitute the calculated values in the original equations to see if the equalities are correct. Here you can see the verification for all of the equations:

$2(-1/85)-4(-283/85)+6(2/17)=14\\9(-1/85)-3(-283/85)+1(2/17)=10\\5(-1/85)+9(2/17)=1$