The answer is: [B]: " x + 3y + 10 = 0 " .
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Explanation:
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Note the equation for a line; in 'slope-intercept form': "y = mx + b" ;
in which "y" is isolated alone, as a single variable, on the left-hand side of the equation;
"m" = the slope of the line; and is the co-efficient of "x" ;
b = the "y-intercept"; (or the "y-coordinate of the point of the "y-intercept").
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So, given the information in this very question/problem:
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slope = m = (-1/3) ;
b = y-intercept = (10/3) ;
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And we can write the equation of the line; in "slope-intercept form"; that is:
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" y = mx + b " ; as:
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" y = (-1/3)x + (10/3) " ;
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Now, the problem asks for the equation of this line; in "general form"; or "standard format"; which is:
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"Ax + By + C = 0 " ;
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So; given:
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" y = (-1/3)x + (10/3) " ;
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We can multiply the ENTIRE EQUATION (both sides) by "3" ; to get rid of the "fractions" ;
→ 3* { y = (-1/3)x + (10/3) } ;
→ 3y = -1x + 10 ;
↔ -1x + 10 = 3y ;
Subtract "(3y)" from each side of the equation:
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-1x + 10 − 3y = 3y − 3y ;
to get:
-1x + 10 − 3y = 0 ;
↔ -1x − 3y − 10 = 0 ;
→ This is not one of the "3 (THREE) answer choices given" ;
→ So, multiply the ENTIRE EQUATION (both sides); by "-1" ; as follows:
-1 * {-1x − 3y − 10 = 0} ;
to get:
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→ " x + 3y + 10 = 0 " ; which is: "Answer choice: [B] ."
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Note that is equation is in the "standard format" ;
→ " Ax + By + C = 0 " .
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Answer: x≥ 8.00 and x < 9.50 is the correct option.
Step-by-step explanation:
Since, given expression 8.00 ≤ x < 9.50
Where x is the value for which college students are paid hourly as teacher assistants.
so, x is greater than or equal to 8.00
Therefore, 
And, x is less than 9.50
Therefore, x < 9.50
On combining both expression we get, and 
.
Thus, Third Option is correct.
Answer: To find the slope of this line, you would use the fomula
y2 - y1/ x2 - x1
11 - 3 / 1 - (-1)=
8/2
4
The slope of your line would be 4
To find the different ways to display the boxes, you will find all the different ways you can make an array of 12.
12 x 1 and 1 x 12
2 x 6 and 6 x 2
3 x 4 and 4 x 3
There are 6 possibilities.
It is 12 since 1/6=6^-1=6
implies 2*6=12
