Opinions please! Get Points! Im doing a research paper in school for English (and part math) and my topic is "Is NASA a Waste of
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<h3>Beatrice concluded that all of these points are on the same line is false statement.
</h3>
<em><u>Solution:</u></em>
Given that,
Beatrice calculated the slope between two pairs of points
She found that the slope between (-3, -2) and (1, 0) is
She also found that the slope between (-2, -1) and (4, 2) is
Beatrice concluded that all of these points are on the same line
The points are on the lines with the same slopes.
We know that, two parallel lines will also have the same slopes
Therefore,
Beatrice need to find the y-intercept of the equation of the lines
If the y-intercept of the equation of lines is same in both cases,
Then this means that all 4 points are on the same line
Or else, they are two different lines which are parallel
<em><u>Find the y intercept of (-3, -2) and (1, 0)</u></em>
The slope intercept form is given as:
y = mx + c ------ eqn 1
where, "m" is the slope and "c" is the y intercept
Substitute m = 1/2 and (x, y) = (1, 0) in eqn 1
Thus y intercept is -1/2
<em><u>Find the y intercept of line of (-2, -1) and (4, 2)</u></em>
Substitute m = 1/2 and (x, y) = (4, 2) in eqn 1
Thus y intercept is 0
The two lines, have same slope but ,different y intercept which means lines are parallel
So, Beatrice concluded that all of these points are on the same line is false statement.
Answer:
Picture below.
Step-by-step explanation:
hope this helped!
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