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sweet-ann [11.9K]
3 years ago
9

What is the equation of the line that passes through the point (-7, 2) and has a slope of -1?

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
3 0

Answer: y= -1x - 5  

Step-by-step explanation:

The equation has to be in slope-intercept form which uses the formula

y=mx+b   where m is the slope and b is the y-intercept.

So we given the slope and an x and y coordinate so we will plot those numbers into the formula and solve for the y intercept to write the equation.

the x coordinate is -7  and the y coordinate  is 2

2 = -1(-7) + b    

2 = 7  + b  

-7   -7

b = -5  the y intercept is -5

Now the equation will be y= -1x - 5

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The figure below is a right rectangular prism. which expression represents the volume of the prism?
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     " right rectangular prism " ;   is represented by:

____________________________________________________

                    →   " V  =  L * w * h  "   ;

____________________________________________________

in which:   all the dimensions are in the same "units of measurement" (or converted to the same "units of measurement" ;  

and in which:

      " V " is the "volume" of the right rectangular prism; in the "cubic units" ; or written as:  "units³ "  ;  or, [insert the particular units used}^ ³  "   ;

  →  that is, [units] raised to the "3rd [third] power" ; assuming these units are the same  same "fundamental units of measurement"  as the "other 2 (two) values in the expression".  

    If we are given no specific units of measurement whatsoever, then we use the generic term, "units" as the "units of measurement" ; and we express the "volume; "V" ;  of a "right rectangular prism" as:  " units ³ " ; or "cubic units" ;

        in our answer— if we are asked to solve for the:

                     "volume; "V";  of a "right rectangular prism" ;

_________________________________________________

and in which:  

            "L" represents the "length" of a "right rectangular prism" ;

            "w" represents the "width" of a "right rectangular prism" ;

            "h" represents the "height" of a "right rectangular prism" .

_________________________________________________

To given an example:

  Say we have a "right rectangular prism" ; with the given measurements:

    width , "w" :   w = 2 units;  

    length, "L"  :    L  = 3 units ;

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_________________________________________________

We are asked to "find the volume " ;  of this "right recentangular prism" .

The formula for the volume;  "V" ;  of this "right rectangular prism" ;

is:

_________________________________________________

          →    Volume  =  Length * width * height ;

that is:

          →    V =  L  * w * h  ;  

Solve for the volume;  "V" .

_________________________________________________

          →   V  =  L  * w * h   ;    Now plug in the values given:

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                    =  3 * 2 * 8 * (units) * (units) * (units) ;

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Hope this answer— and explanation—is helpful to you!

     Wishing you the best in your academic pursuits

               — and within the "Brainly" community!

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