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Answer:
The equation of line passing through point ( - 2 , - 3 ) and slope 1 is y = x - 1
Step-by-step explanation:
Given equation of line as :
y = x -
i.e y = x - 2
The standard equation of line is given as
y = m x + c ,
where m is the slope of the line and c is the y-intercept
Now, comparing the line , we have
Slope = m = 1
Now, The other line is perpendicular to the first line
So, from perpendicular property of line
The product of their slope = - 1
Let The slope of other line = M
So, m × M = - 1
Or, ( - 1 ) × M = - 1
or M =
∴ M = 1
So , The slope of other line = M = 1
∵ The other line is passing through point ( x , y ) = ( - 2 , - 3 )
Now, satisfying the points and slope with standard line equation
I.e y = M x + c
or, - 3 = 1 × ( - 2 ) + c
or, -3 = - 2 + c
or, - 3 + 2 = c
∴ c = - 1
So, The intercept of other line = c = - 1
Now The equation of line with slope intercept
y = 1 × x + ( - 1 )
Or, y = x - 1
Hence The equation of line passing through point ( - 2 , - 3 ) and slope 1 is y = x - 1 Answer
Complete Question:
The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labor Statistics website, April, 1 2, 201 2). Suppose we take a sample of employees from the manufacturing industry to see if the mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries. State the null and alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries
Answer:
Null hypothesis, H₀ : μ = 24.57
Alternative hypothesis, : μ ≠ 24.57
Step-by-step explanation:
The mean hourly wage for the goods producing industry = $24.57
Since we want to see if the mean of hourly wage for the manufacturing industry is equal to $24.57( The mean f hourly wage for the good producing industry)
Therefore the, null hypothesis will be that there is no significant difference between the means of the hourly wages of both the goods producing and the manufacturing industries, while the alternative hypothesis will be that the means of their hourly wages are significantly different
Null hypothesis, H₀ : μ = 24.57
Alternative hypothesis, : μ ≠ 24.57