Answer:
y = -x - 4
Step-by-step explanation:
First find the slope
y - 4 = (x - 6)
y - 4 = x - 6
y = x - 6 + 4
y = x - 2 (y = mx + C)
Slope m = 1
It is said that the line is perpendicular to a point ( -2, -2)
If two lines are perpendicular, their slope will be negative reciprocal
The negative reciprocal of slope = 1 is -1
Using a slope intercept form as requested by the question
y = mx + C
Inserting the values given
(-2, -2)
We are using point slope form
y - y_1 = m ( x - x_1)
x_1 = -2
y_1 = -2
m = -1
Insert the values
y - ( -2)) = -1( x - (-2))
y + 2 = -1 ( x + 2)---- point slope form
But we are requested to give the answer in slope intercept form
y = mx + C
We have to open the bracket
y + 2 = -1(x + 2)
y + 2 = -x - 2
y = -x - 2 - 2
y = -x - 4 ( slope - intercept form)
Step-by-step explanation:
d = z - 9
d = 10 - 9 ----> substitute
d = 1
The assumptions of a regression model can be evaluated by plotting and analyzing the error terms.
Important assumptions in regression model analysis are
- There should be a linear and additive relationship between dependent (response) variable and independent (predictor) variable(s).
- There should be no correlation between the residual (error) terms. Absence of this phenomenon is known as auto correlation.
- The independent variables should not be correlated. Absence of this phenomenon is known as multi col-linearity.
- The error terms must have constant variance. This phenomenon is known as homoskedasticity. The presence of non-constant variance is referred to heteroskedasticity.
- The error terms must be normally distributed.
Hence we can conclude that the assumptions of a regression model can be evaluated by plotting and analyzing the error terms.
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How much does the molding paper cost. Work out the area of the ceiling which is 15 x 20 and multiply it by the price of the molding paper
Answer:
first one: <u>3</u>
second one: <u>b</u>
third one: <u>3.2</u>
Step-by-step explanation:
first one:
21 x ________ ÷ 3 = 21
rewrite equation:
21 ÷ 3 x ___ = 21
7 x ___ = 21
(21 / 7 = 3)
7 x 3 = 21
second one:
b x h ÷ h = ___
B
third one:
876 x 3.2 ÷ ______ = 876
2803.2 ÷ ___ = 876
(2803.2 / 876 = 3.2)
2803.2 x 3.2 = 876