Answer:
Step-by-step explanation:
Here a equation of the line is given to us and we need to find out the equation of line which passes through the given point and parallel to the given line , the given equation is ,
Firstly convert it into <em>s</em><em>l</em><em>o</em><em>p</em><em>e</em><em> </em><em>i</em><em>n</em><em>t</em><em>e</em><em>r</em><em>c</em><em>e</em><em>p</em><em>t</em><em> </em><em>f</em><em>o</em><em>r</em><em>m</em><em> </em>of the line which is <u>y</u><u> </u><u>=</u><u> </u><u>m</u><u>x</u><u> </u><u>+</u><u> </u><u>x</u><u> </u>, as ;
On comparing it to <em>y</em><em> </em><em>=</em><em> </em><em>m</em><em>x</em><em> </em><em>+</em><em> </em><em>c</em><em> </em>, we have ,
Now as we know that the <em>s</em><em>l</em><em>o</em><em>p</em><em>e</em><em> </em><em>o</em><em>f</em><em> </em><em>t</em><em>w</em><em>o</em><em> </em><em>p</em><em>a</em><em>r</em><em>a</em><em>l</em><em>l</em><em>e</em><em>l</em><em> </em><em>l</em><em>i</em><em>n</em><em>e</em><em>s</em><em> </em><em>i</em><em>s</em><em> </em><em>s</em><em>a</em><em>m</em><em>e</em><em> </em>. Therefore the slope of the parallel line will be ,
Now we may use <em>p</em><em>o</em><em>i</em><em>n</em><em>t</em><em> </em><em>s</em><em>l</em><em>o</em><em>p</em><em>e</em><em> </em><em>f</em><em>o</em><em>r</em><em>m</em><em> </em>of the line as ,
On substituting the respective values ,
Again the equation can be rewritten as ,
![\longrightarrow \underset{Slope-Intercept\ form }{\underbrace{\underline{\underline{ y =\dfrac{-1}{4}x +\dfrac{17}{4}}}}}\\](https://tex.z-dn.net/?f=%5Clongrightarrow%20%5Cunderset%7BSlope-Intercept%5C%20form%20%7D%7B%5Cunderbrace%7B%5Cunderline%7B%5Cunderline%7B%20%20y%20%3D%5Cdfrac%7B-1%7D%7B4%7Dx%20%2B%5Cdfrac%7B17%7D%7B4%7D%7D%7D%7D%7D%5C%5C)
Answer:
I think all of these are optional answers
Step-by-step explanation:
Answer:
see the explanation
Step-by-step explanation:
we have
<em>Felicia</em>
![-5(3x+2)+10x](https://tex.z-dn.net/?f=-5%283x%2B2%29%2B10x)
Apply distributive property
![-5(3x)-5(2)+10x](https://tex.z-dn.net/?f=-5%283x%29-5%282%29%2B10x)
![-15x-10+10x](https://tex.z-dn.net/?f=-15x-10%2B10x)
Combine like terms
![-5x-10](https://tex.z-dn.net/?f=-5x-10)
Let
a ----> the missing term with coefficient x in Gregory's expression
b ----> the missing constant term in Gregory's expression
so
![-12-4x+ax+b](https://tex.z-dn.net/?f=-12-4x%2Bax%2Bb)
equate Gregory's expression to Felicia's expression
![-12-4x+ax+b=-5x-10](https://tex.z-dn.net/?f=-12-4x%2Bax%2Bb%3D-5x-10)
so
----->![b=2](https://tex.z-dn.net/?f=b%3D2)
------> ![a=-1](https://tex.z-dn.net/?f=a%3D-1)
so
Gregory's expression is
![-12-4x+2-x](https://tex.z-dn.net/?f=-12-4x%2B2-x)
therefore
The missing terms are 2 and -x
Answer:
The answer is -21
Step-by-step explanation:
To find the answer just multiply 7 by 3 and that's 21, so just add a negative sign to 21 and you get -21. I hope this helps :) please give me brainliest :)