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pochemuha
3 years ago
13

Write an equation of the line that is parallel to y = 1/2x + 3 and passes through the point (10, -5).

Mathematics
1 answer:
bearhunter [10]3 years ago
8 0

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0)

You need to find "m" and "b"


For lines to be parallel, the slopes have to be the same.

The given line's slope is 1/2, so the parallel line's slope is also 1/2.

y = 1/2x + b

To find "b", you can plug in the point (10, -5) into the equation.

y = 1/2x + b

-5 = 1/2(10) + b

-5 = 5 + b    Subtract 5 on both sides to get "b" by itself

-10 = b


y = 1/2x - 10    Your answer is D (you could have just found the slope to get your answer, since all the slopes are different)


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PLEASE HELP!!!<br> EQUATIONS!!! ASAP :)
mel-nik [20]
1)solve for y.

4x+y=7

Add -4x to both sides.

4x+y+−4x=7+−4x

y=−4x+7



2) solve for y.

y−5x=9

Add 5x to both sides.

−5x+y+5x=9+5x

y=5x+9



3) solve for y.

3y−15x=12

Add 15x to both sides.

−15x+3y+15x=12+15x

3y=15x+12

Divide both sides by 3.

3y/3=15x+12/3

y=5x+4




4) solve for y.

8x+2y=18

Add -8x to both sides.

8x+2y+−8x=18+−8x

2y=−8x+18

Divide both sides by 2.

2y/2=−8x+18/2

y=−4x+9
 



5 ) solve for y.

7x−y=35

Add -7x to both sides.

7x−y+−7x=35+−7x

−y=−7x+35

Divide both sides by -1.

−y/−1=−7x+35/−1

y=7x−35



6)  solve for y.

4x+1=9+4y

Flip the equation.

4y+9=4x+1

Add -9 to both sides.

4y+9+−9=4x+1+−9

4y=4x−8

Divide both sides by 4.

4y/4=4x−8/4

y=x−2



7)  solve for x.

y=5x−2x

Flip the equation.

3x=y

Divide both sides by 3.

3x/3=y/3

x=1/3y



8) solve for x.

r=x+9x

Flip the equation.

10x=r

Divide both sides by 10.

10x/10=r/10

x=1/10r



9) solve for x.

b=3x+9xy

Flip the equation.

9xy+3x=b

Factor out variable x.

x(9y+3)=b

Divide both sides by 9y+3.

x(9y+3)/9y+3=b/9y+3

x=b/9y+3



10)  solve for x.

w=2hx−11x

Flip the equation.

2hx−11x=w

Factor out variable x.

x(2h−11)=w

Divide both sides by 2h-11.

x(2h−11)/2h−11 = w/2h−11

x=w/2h−11
 

11) solve for x.

p=4x+qx−5

Flip the equation.

qx+4x−5=p

Add 5 to both sides.

qx+4x−5+5=p+5

qx+4x=p+5

Factor out variable x.

x(q+4)=p+5

Divide both sides by q+4.

x(q+4)/q+4=p+5/q+4

x=p+5 / q+4




12) solve for x.

m=9+3x−dx

Flip the equation.

−dx+3x+9=m

Add -9 to both sides.

−dx+3x+9+−9=m+−9

−dx+3x=m−9

Factor out variable x.

x(−d+3)=m−9

Divide both sides by -d+3.

x(−d+3)/−d+3=m−9/−d+3

x=m−9/−d+3


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2 years ago
Plz, Help me with this question.
Galina-37 [17]
It’s F=10
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