Mathematics, 10.12.2019 04:31 oliviacolaizzi

Asystem of equations is given below. y=1/2x-3 and -1/2x-3. which of the following statements best describes the two lines?

they have the same slope but different y-intercepts, so they have no solution.
they have the same slope but different y-intercepts, so they have one solution.
they have different slopes but the same y-intercept, so they have no solution.
they have different slopes but the same y-intercept, so they have one solution.

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Answers

"They have different slopes but the same y-intercept, so they have one solution" is the statement which best describes the two lines.

Option D

Step-by-step explanation:

Given equations:

$y=\left(\frac{1}{2} \times x\right)-3$

$y=\left(-\frac{1}{2} \times x\right)-3$

As we know that the slope intercept form of a line is

y = m x + c

So, from equation 1 and equation 2 we can see that

$m_{1}=\frac{1}{2} \quad \text { and } c_{1}=-3$

$m_{2}=-\frac{1}{2} \text { and } c_{2}=-3$

So, from the above expressions, we can say that both lines have different slopes but have same y – intercept with one common solution when x = 0.

Answer from: Quest

The first one, i believe, would be correct. all the others have one thing in common, and that's that they have repeating numbers. in the second one, x and y have repeating 6's and 3's, and in the third, x and y have repeating 6's as well. in the last one, there are repeating 3's. the first one has no repeating numbers.
Which table shows a proportional relationship between x and y

Which table shows a proportional relationship between x and y

Answer from: Quest

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights