Question

Input the equation of the given line in standard form.

The line through (1, -4) and parallel to 2x + 3y = 4
How do I solve this?

Answer 1

first convert the given question ( 2x+3x =4) into slope intercept form ( y=mx +b)

Answer 2

tell me what would be slope intercept form of this equation
2x + 3y = 4

Answer 3

y=-2/3+4/3 Right?

Answer 4

@brimae97 tell me what is it slope intercept form

Answer 5

you omitted the x brimae

Answer 6

u forgot the x in your slope intercept form
y = -2/3 x +4/3
this is your slope intercept form

Answer 7

now second step what is the slope in your slope intercept form
for again review i write again
y= mx +b
here m is your slope so
what would be the slope in this equation(y= -2/3 x + 4/3 )

Answer 8

-2/3x is the slope

Answer 9

only -2/3 is your slope not -2/3x
okay ?

Answer 10

so your slope is -2/3
okay

Answer 11

now if we again read the question statement
''The line through (1, -4) and parallel to 2x + 3y = 4''
it is saying that line is parallel to this equation
so we know that when the lines are parallel then their slope will be equal
m = m'
here m = -2/3
so m'=-2/3
okay ?

got it

Answer 12

I got it, but how do you right the equation out in standard form? I don't understand that part.

Answer 13

i just take out it from question statement

Answer 14

now the point has given to u
that is (1,-4)
so (x',y')=(1,-4)
okay
and we have m' =-2/3
okay ?

Answer 15

now use the point slope form
its formula is given as
(y-y') = m' (x-x')
since
(x',y')=( 1,-4)
m'=-2/3
just put these points in the above formula and solve it and show me what u get

Answer 16

y-(-4) = -2/3 (x-1)
y+4=-2/3 (x-1)
3(y+4) =-2(x-1)
3y +12 =-2x +2
2x +3y +12 -2=0
2x +3y +10 =0
is your correct answer

Answer 17

Thank you. I got half of it right, but I just didn't know how to put it in standard form, but now i do. Thank you so much!