Step-by-step explanation:
the general line equation format is
y = ax + b
a is the slope or gradient of the line. it is the ratio of "y coordinate change / x coordinate change".
b is the y-intercept, the y value when x = 0. we get this by putting one point into the equation and solve for b.
(i)
A (3, 5)
B (5, 9)
x changes by +2 (from 3 to 5).
y changes by +4 (from 5 to 9).
so, the slope (or gradient) is +4/+2 = 2
(ii)
the semi-finished equation is
y = 2x + b
let's use A to get b :
5 = 2×3 + b = 6 + b
b = -1
and the full equation is
y = 2x - 1
(iii)
for point (4, k) we get
k = 2×4 - 1 = 8 - 1 = 7
Answer:
3 meters
Step-by-step explanation:
3 times 3 is 9
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So, to find the mean they added up the scores from 20 seasons and divided by 20, the number of seasons to get an average score of 10.4.
10.4 = (x1 +x2 +x3 ... +x20 )/20
Then;
10.4*(20) = (x1 +x2 +x3 ... +x20 )
208 = sum of the first 20 seasons
We want to add one more number in there, the 21st season with a score of 14. Add the 14 to the sum of the first 20 seasons and then divide by 21, the new number of seasons you're averaging.
Mean = (208+14)/21
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Answer
= 10.6
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