Find the slope of the line passing through the points (-1, 7) and (-5, 1)
2 answers:
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Answer:
The correct option is;
D(4, 4)
Step-by-step explanation:
The given coordinates of the points are, A(2, 3) B(8, 7), C(6, 1), therefore, the coordinates of the point D that will make CD perpendicular to AB will have a slope = -1/m, where, m = the slope of the line segment AB
The formula for finding the slope, m, of a segment, given the coordinates of two points on the straight line segment (x₁, y₁), (x₂, y₂)
Therefore, for, the segment AB, we have;
m = (7 - 3)/(8 - 2) = 4/6 = 2/3
m = 2/3
Therefore, to make the segment AB perpendicular to the segment CD, the slope of the segment CD will be -1/m = -1/(2/3) = -3/2
The equation of the segment CD in point and slope form is therefore;
y - 1 = -3/2×(x - 6)
y - 1 = -3·x/2 + 9
The standard form of the equation of the segment CD is therefore;
y = -3·x/2 + 9 + 1 = -3·x/2 + 10
y = -3·x/2 + 10
The point that satisfies the above equation is the point (4, 4) because;
4 = -3 × 4/2 + 10
The correct option is therefore, D(4, 4).
Answer: The P-Value is .039337. The result is not significant at p < .01.
Step-by-step explanation:
In the following Chi square table attached, the value is of df=8 and chi square statistic value of 16.22 is found to be between (15.507, X²₀.₀₅) and ( 17.353, X²₀.₀₂₅).
Using the table for critical value calculation:-
Df=8 Critical value for 1%= 1.646, and we calculated our value of 17.353.
We can reject is on the basis of X²calculated > X²Critical.
The outcome doesn't falls to be in 1% of the distribution.
or
We can reject it on basis that the outcome between X²₀.₀₅ and X²₀.₀₂₅ whereas the required level of upper distribution is X²₀.₀₁
