what is the slope of a line that runs parallel to y = 2x + 5

- anonymous

what is the slope of a line that runs parallel to y = 2x + 5

- schrodinger

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- Vocaloid

well, do you know how to find the slope of y = 2x + 5?

- anonymous

no can you help me? sorry i know stupid question

- Vocaloid

nah, it's fine, I'm happy to help
the slope-intercept form of a line is y = mx + b, where m is the slope
so let's put our two equations side by side for comparison
y = mx + b
y = 2x + 5
can you tell me what number matches with m?

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## More answers

- anonymous

2

- Vocaloid

yup! so our slope is 2
now, a parallel line will have the same slope, so the new line will also have a slope of 2
so 2 is our final answer

- anonymous

okay thank you soo muchh!!! hahha that was easy! may i ask for help for a two more??

- Vocaloid

sure

- anonymous

A rectangle with a length of x - 4 and a width of 8 has a perimeter of 34.
What is the value of x?

- Vocaloid

well, the perimeter of a rectangle is 2(width+length)
so we can take that information and write an equation
34 = 2(x-4+8)
do you know how to find the value of x from here?

- anonymous

will i be doing cross multiply? or is that something else?

- anonymous

- Vocaloid

not quite, cross multiplying is when we have fractions
I'll walk you through it
so, we start off with
34 = 2(x-4+8)
we can divide both sides by 2 to get
17 = (x-4+8)
with me so far?

- anonymous

yes

- Vocaloid

alright, now we can clean up the inside of the parentheses
17 = (x-4+8)
17 = x + 4
can you tell me what x is now?

- anonymous

will i devide the 4? same?

- Vocaloid

almost but not quite
the opposite of addition is subtraction, correct? since we have 4 added to one side, we can subtract 4 from both sides to get rid of it
17 - 4 = x + 4 - 4
13 = x

- anonymous

yes yes ohh okay i got it now!! ahh thank thank you soo much! i feel so stupid but thank you for patience. one more please help one more?

- Vocaloid

sure, and don't apologize, you're here to learn :)

- anonymous

What is the solution to 4x -14 + 6 = 12? thank you so much

- Vocaloid

well, let's start by looking at the left side
we can put -14 and 6 together since these are both constants (no letters attached to them(
-14 + 6 = ?

- anonymous

-8

- Vocaloid

good, so we put them together to get -8
now we have 4x - 8 = 12
now, since we have minus 8 on one side, we can +8 to both sides to get rid of the 8
so 12 + 8 = ?

- anonymous

20

- Vocaloid

yup, so now we've got
4x = 20
now divide both sides by 4, and what do you get?

- anonymous

x=5

- anonymous

right? im so happy im learning jeje

- Vocaloid

yup, excellent work

- anonymous

than thank you so much @vocaloid!!

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