Question

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

Answer 1

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

Answer 2

no can you help me? sorry i know stupid question

Answer 3

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?

Answer 4

2

Answer 5

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

Answer 6

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

Answer 7

sure

Answer 8

A rectangle with a length of x - 4 and a width of 8 has a perimeter of 34.

What is the value of x?

Answer 9

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?

Answer 10

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

Answer 11

@Vocaloid

Answer 12

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?

Answer 13

yes

Answer 14

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?

Answer 15

will i devide the 4? same?

Answer 16

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

Answer 17

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?

Answer 18

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

Answer 19

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

Answer 20

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 = ?

Answer 21

-8

Answer 22

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 = ?

Answer 23

20

Answer 24

yup, so now we've got

4x = 20

now divide both sides by 4, and what do you get?

Answer 25

x=5

Answer 26

right? im so happy im learning jeje

Answer 27

yup, excellent work

Answer 28

than thank you so much @vocaloid!!