Question

Consider the line that passes through the point (3, -2) and has a slope of 2.

Part 1: Write the equation of this line using point-slope form. (2 points)
Part 2: Using your equation from part 1, rewrite this equation in slope-intercept form. Make sure to show all of your work. (2 points)
Part 3: Using your equation from part 2, rewrite this equation in standard form. Make sure to show all of your work. (2 points)

Answer 1

@ganeshie8

Answer 2

@zepdrix

Answer 3

do u knw the 3 forms for a line :-
1) point-slope form
2) slope-intercept form
3) standard form

?

Answer 4

Yes.

Answer 5

then its easy :)
for part 1, simply write the point-slope form of line :
point = (3, -2)
slope = 2

Answer 6

whats the point-slope form of a line ?

Answer 7

2x-y-8?

Answer 8

nope,
point slope of form is :
y - y1 = m(x - x1)

Answer 9

plugin (x1, y1) = (3, -2)
m = 2

Answer 10

you wud get :-

y - (-2) = 2(x - 3)

Answer 11

thats it, we're done wid part1

Answer 12

Okay.

Answer 13

for part2, do u knw slope-intercept form ?

Answer 14

yes.

Answer 15

wat is it

Answer 16

y=mx+b

Answer 17

So.

Answer 18

It would be

Answer 19

yes !

Answer 20

rearrange the equation form part1

Answer 21

y - (-2) = 2(x - 3)

y + 2 = 2x - 6

y = 2x - 8

Answer 22

we're done wid part2 also

Answer 23

wat about part3 ?

Answer 24

Using your equation from part 2, rewrite this equation in standard form. Make sure to show all of your work.

Answer 25

?

Answer 26

yes, whats the standard form ?

Answer 27

can u check ur notes / google a bit and tell me whats the "standard form of line" ?

Answer 28

It would be

Answer 29

umm

Answer 30

y = 2 (x-4)?

Answer 31

nope.
standard form of line is :

Ax + By = C

Answer 32

from part2, we have equation in slope-intercept form as :
y = 2x - 8

Answer 33

u need to change it to standard form

Answer 34

y = 2x - 8

8 = 2x - y

2x - y = 8

Answer 35

thats the standard form okay ?

Answer 36

-2x + y = -8

Answer 37

Would this be it?

Answer 38

in standard form, coefficent of x must always be POSITIVE.
so, multiply ur equation by -1

Answer 39

-2x + y = -8

is same as

2x - y = 8

Answer 40

Okay, so I got it?

Answer 41

yup !

Answer 42

just show ur final equation as :-

2x - y = 8

Answer 43

Okay, thank you!

Answer 44

np :)