Question

Write this in an equation in standard form please? (5,1), (-3, 4)

Answer 1

5.1 -3.5 are you doing intigers?

Answer 2

Do you mean the y=mx+b Equationg?

Answer 3

*equation

Answer 4

If so, use the (y2-y1) over (x2-x1) to find the slope, then just substitute the values into the equation.

Answer 5

This is what i have to do: Write an equation in point-slope form for the line that passes through one of the following pairs of points (you may choose the pair you want to work with). Then, use the same set of points to write the equation in standard form and again in slope-intercept form.
And i already have the slope-intercept and point slope. i dont know how to get syandard form?

Answer 6

equation in standard form Ax + By = C or Ax + By + C = 0
you have 2 points (x1, y1) and (x2, y2)
slope, m = change in y / corresponding change in x = (y2 - y1)/(x2 - x1)
using one of the points given and y = mx + b where b is the intercept
find b slope-intercept format
now write the equation for any point (x, y)
rearrange to put in standard form
note that you could also use point slope format to write the equation
(y-y1) = m(x-x1)

Answer 7

woa, okay. thanks! but im still confused?

Answer 8

okay, wait, would it be 5x+1y=15?

Answer 9

I have to actually do it
what is the slope?

Answer 10

lets see, i think -3/8?

Answer 11

(5,1), (-3, 4)
4-1/(-3 - 5) = 3/-8
y - -3 = -3/8(x - 4)
y + 3 = -3/8 x + 12

Answer 12

3x + 8y = 9

Answer 13

So, thats the standard form? and thank you so much!

Answer 14

I've learnt that some books use Ax + By = C and some will use Ax + By + C= 0

Answer 15

Okay

Answer 16

here I used point-slope
to use slope intercept you would choose a given point example (5, 1) with y = mx + b solve for b then generalize
do you have any questions about the steps?

Answer 17

Okay, i tried finding the slope-intercept and point slope- can you check and make sure its correct?
Slope intercept form- y =-3/8x+3 and point slope form y-1=-3/8(x-5)

Answer 18

using Slope intercept form- y =-3/8x+3
y = mx + b
5 = -3/8(1) + b
b = 5 + 3/8 = 43/8
then substitute using (x, y)
y = -3/8(x ) + 43/8
multiply everything by 8 to get rid of fraction
8y = -3x + 43
3x + 8y = 43

Answer 19

error above
(5,1), (-3, 4) 4-1/(-3 - 5) = 3/-8 y - -3 = -3/8(x - 4) y + 3 = -3/8 x + 12
should be 12/8 = 3/2

Answer 20

so, 12/8 = 3/2 is the slope-intercept equation?

Answer 21

3x + 8y = 9 with correction
(3/2 + 3)*8

Answer 22

Okay. so then i solve the rest? would it be
Point slope: m= 1 - 4 (5+3)
Standard: 5x + 1y = 15
Slope intercept: 1 = 1 1/2

Answer 23

3x + 8y =
found BIG ERROR (5,1) x = 5 y = 1
sorry

Answer 24

Okay, so now im confused? haha

Answer 25

start right here
slope intercept form y = m x + b
y = 1 x = 5 m = -3/8
1 = -3/8 (5) + b
solve for b
b = 1 + 15/8 = 23/8
using any (x, y)
y = -3/8(x) + 23/8
multiply by 8 (to get rid of fraction ) then rearrange to standard form
3x + 8y = 23

Answer 26

point-slope
y - 1 = -3/8(x -5)
y - 1 = -3/8 x + 15/8
multiply by 8 and rearrange
3x + 8y = (15 +8) = 23

Answer 27

I have to go, but ill get back on later. Thank you for all your help!

Answer 28

so, now you see 1) the importance of using the correct x and y
2) you can use either point-slope or slope intercept
3) how to get equation of line and rearrange to standard form

Answer 29

sorry it took so long
you are always welcome