Question

Input the equation of the given line in standard form.

The line with m = -1/2 and the point (-2, -3).

Answer 1

Remember the point slope form equation, \[y - y _{1} = m(x - x _{1})\]?

Answer 2

m = -1/2
(x1,y1) = (-2,-3)
y-y1 = m(x-x1)

plug the value of x1, y1 and m in the above equation and then write it in the from
Ax +By = C

Answer 3

y=1/2x-4

Answer 4

y = -1/2x -4

Answer 5

this is the slope intercept form
write this equation in standard form

Answer 6

1/2x+y=-4

Answer 7

yes its right now multiply both sides by 2 to get rid of 1/2

Answer 8

x+2y=-8

Answer 9

yes its the required standard from

Answer 10

*form

Answer 11

can you help me with another?

Answer 12

yes sure

Answer 13

Input the equation of the given line in standard form.
The line including the two points (5, 3), (8, -2)

Answer 14

midpoint is -5/3 ?

Answer 15

no dont try to find the midpoint you just need the equation in standard form

Answer 16

here is trick the slope is not given
can you find the slope from the given two points???????

Answer 17

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Answer 18

I don't know how...

Answer 19

is the answer 5x+y=16

Answer 20

you have these two points.
(5, 3), (8, -2)
use the following formula to calculate the slope
m = (y2-y1)/(x2-x1)
here y2 = -2 y1 = 3 x2 = 8 and x1 = 5

Answer 21

dont go for the answer directly

Answer 22

when you calculate the slope, you get =5/3 right/

Answer 23

slope = -5/3

Answer 24

now take one of the two points and find the equation by using the formula
y-y1 = m(x-x1)

Answer 25

y- -3=-5/3(x-5)
y+3=-5/3x+25/3

Answer 26

then you'd multiply by 3 on each side right?

Answer 27

y-3 = -5/3(x-5)
now simplify this equation

Answer 28

y+3=-5/3x+25/3

Answer 29

its not y+3 its y-3

Answer 30

the rest is ok

Answer 31

y-3=-5/3x+25/3
y +5/3x = 25/3 +3
multiply both sides by 3

Answer 32

3y+5x=28 ?

Answer 33

3y + 5x = 25 + 9
3y + 5x = 34
or
5x +3y = 34 -----> take your answer