Write y= 3/5 x +4 in standard form using integers ?

1 answer:

7 0

Standard form for equations is ax + by = c. So all we have to do is transfer this equation into standard form. But, in standard form, there can also be no denominators, so our first step is to multiply each side of the equation by 5 to get rid of all denominators. The equation becomes 5y = 3x + 20. Now we need to get 20 on one side, which we can do by subtracting 3x from each side. The equation becomes -3x + 5y = 20, giving us our final answer of -3x + 5y = 20.

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"d" represents the distance and coordinates are expressed as follows: (x, y)

Let's go to the calculations.

$\mathsf{d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}\\\\ \mathsf{d=\sqrt{(3-(-3))^2+(8-0)^2}}\\\\ \mathsf{d=\sqrt{(3+3)^2+(8)^2}}\\\\ \mathsf{d=\sqrt{(6)^2+64}}\\\\ \mathsf{d=\sqrt{36+64}}\\\\ \mathsf{d=\sqrt{100}}\\\\ \underline{\mathsf{d=10}}$

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