The slope of the line parallel to the points (3,-7) and (-6,5) is ![-\frac{4}{3}](https://tex.z-dn.net/?f=-%5Cfrac%7B4%7D%7B3%7D)
<u>Solution:</u>
We have been given two points of a line, and we have been asked to find the slope of a line parallel to it.
The given points are: (3,-7) and (-6,5)
According to the definition of parallel lines, two lines in a plane that do not intersect or touch each other at any point are said to be parallel.
And this is only possible if the two lines have the same slope.
Let the slope of the line be denoted by ‘m’.
So, to find the slope of the line given to us we do the following:
--- equation 1
Where y and x are coordinates of the points given to us.
Therefore substituting the values eq1 becomes:
![\begin{array}{l}{m=\frac{5-(-7)}{-6-3}} \\\\ {m=\frac{5+7}{-9}=\frac{12}{-9}=-\frac{4}{3}}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7Bm%3D%5Cfrac%7B5-%28-7%29%7D%7B-6-3%7D%7D%20%5C%5C%5C%5C%20%7Bm%3D%5Cfrac%7B5%2B7%7D%7B-9%7D%3D%5Cfrac%7B12%7D%7B-9%7D%3D-%5Cfrac%7B4%7D%7B3%7D%7D%5Cend%7Barray%7D)
Therefore the slope of the line is
So by definition, the slope of a line parallel to this line will also have the slope ![-\frac{4}{3}](https://tex.z-dn.net/?f=-%5Cfrac%7B4%7D%7B3%7D)
<h2>⟰ <u>A</u><u>N</u><u>S</u><u>W</u><u>E</u><u>R</u> ⟰</h2>
<h2>U R ANS IS IN THE PIC !!</h2>
<h2>HOPE IT HELPS U!!!!!( :</h2>
Here 4 is called the antecedent, and 12 is called the consequent. The first term is always called the antecedent and the second term is always called the consequent.
<span> Your ratio can be reduced, just like a fraction. Here, 4 and 12 share the common factor of 4. So we can divide both numbers by 4 to get a ratio that means exactly the same thing as 4:12. This ratio will be 1:3.</span><span> In other words, 1:3 is the same as your ratio 4:12.</span><span> Ratios sometimes mean how each number relates to some whole amount. For example, your ratio is 4:12. Since, 4 + 12 = 16, 16 is your whole amount. So, 4 is one part of 16, and 12 is the other part of 16.</span><span> So your ratio means 4/16 forms one part, and 12/16 forms the other part. This is what is meant by "ratios compare the size of one number to another number." The size of these two parts is what a ratio compares.</span><span> Notice that 4/16 = 0.25 (25%), and 12/16 = 0.75 (75%) (these are the two parts), and 0.25 + 0.75 = 1 (they add to be 1 whole).</span><span> This can also be stated in terms of percentages, like 25% + 75% = 100%.</span>
Always have to type 20 characters....
2 equal angles is the correct answer