Answer:
-7x + 4y = +42
Step-by-step explanation:
Going from point (2, -7) to point (6, 0), x increases by 4 and y increases by 7. Thus, the slope of the line in question is m = 7/4.
Starting from the equation y = mx + b, and subbing (7/4) for m, 6 for x and 0 for y, we get:
0 = (7/4)(6) + b. Then b = 42/4, or 21/2. Thus, we now have y = (7/4)x + 21/2.
We must put this into "standard form." Multiplying all three terms by 4, we get:
4y = 7x + 42. Rearranging these terms to fit the "standard form" equation Ax + By = C, we get:
-7x + 4y = +42
The slope of the line that passes throught (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)
given
(-4,3) and (-8,6)
slop=(6-3)/(-8-(-4))=(3)/(-8+4)=3/-4=-3/4
slope is -3/4
(2,2)
(x1+x2)/2, (y1-y2)/2
(-2+6)/2=(2)
(-2+6)/2=2
To answer the question we need to know if 35 out of 50 states is equal or greater than 3/4 if that is the case, the Constitution will be ammended, and that is represented like this:
35/50 >= 3/4
that inequality is saying that 35 states out of 50 is equal or greater than 3/4, lets simplify and modify the fractions to compare easily:
<span>35/50 >= 3/4
</span>7/10 <span>>= 3/4
</span>now we need to find the least common multiplier of 10 and 4 to take the fractions to a common denominator and compare easy. Lets multiply numerator and denominator for a correct number to get the fractions to denominator common 20, the lcm:
7/10 <span>>= 3/4
</span>(2/2)(7/10) >= (5/5)(3/4)
2*7/2*10 >= 5*3/5*4
14/20 >= 15/20
we can see that the inequality does not hold, so,
<span>35/50 >= 3/4
</span>does not hold either, therefore the Constitution cannot be ammended
