Do you think engineers have to adapt their original plans during the construction of systems or products? Why might they?

1 answer:

6 0

Yes. I think that engineers may have to adapt their original plans during the construction of systems or products because they might think that other people have good ideas to make it better or because exogenous variables may require that they adapt their original plans in order to successfully construct the system.

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Find the equation of a line which has 10 points the following two coordinates: (4, 0) and (3, 4)

alex41 [277]

Answer:

The equation of the line is y = -4·x + 16

10 points on the line include;

(0, 16), (1, 12), (2, 8), (3, 4), (4, 0), (5, -4), (6, -8), (7, 12), (8, -16), (9, -20), and (10, -24)

Explanation:

The given points through which the line passes are;

(4, 0) and (3, 4)

The slope, 'm', of the line is given as follows;

$Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Therefore, the slope of the line is (4 - 0)/(3 - 4) = -4

In point and slope form we can get;

$\dfrac{y-0}{x-4} = -4$

The equation of the line in point and slope form is therefore;

y = -4·(x - 4) = -4·x + 16

The equation of the line in slope and intercept form is

y = -4·x + 16

10 points on the line are obtained using the equation of the line and the desired x-values input into cells on MS Excel and presented here as follows;

(0, 16), (1, 12), (2, 8), (3, 4), (4, 0), (5, -4), (6, -8), (7, 12), (8, -16), (9, -20), and (10, -24)