The linear equation is y = -x - 6
Step-by-step explanation:
To form a linear equation from two points lie on the line which the equation represented it
- Find the slope of the line by using the formula

- Then use the slope-intercept form of the equation y = m x + b
- To find the value of b substitute x and y of the equation by the coordinates of one of the two given points
∵ Points (-2 , -4) and (-3 , -3) lie on the line
∴
= -2 and
= -3
∴
= -4 and
= -3
- Substitute these values in the formula of the slope
∵ 
∴ m = -1
∵ The form of the equation is y = m x + b
∵ m = -1
∴ y = (-1) x + b
∴ y = -x + b
To find b substitute x and y in the equation by the coordinates of
point (-2 , -4) OR (-3 , -3)
∵ x = -3 and y = -3
∴ -3 = -(-3) + b
∴ -3 = 3 + b
- Subtract 3 from both sides
∴ -6 = b
∴ The equation is y = -x + (-6)
∴ y = -x - 6
The linear equation is y = -x - 6
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Answer:
see below
Step-by-step explanation:
t = 7m
Let m = 6
t = 7*6 = 42
Let m = 8
t = 7*8
t = 56
So the equation is A = P(1+rt)
A = 10,000(1+0.07*6)
A = 10,000(1+0.42)
A = 14,200.00
Answer:
See below
Step-by-step explanation:
B) The correlation coefficient is
, which can be determined by plugging the data into a TI-84 calculator.
C) A correlation coefficient of
indicates that the correlation between the independent and dependent variable (x and y in this case) is moderately strong with a positive correlation. The closer
is to 1, the stronger the positive correlation. The closer
is to -1, the stronger the negative correlation. If
is closer to 0, then there's no correlation.