Question

Write the standard form of the equation of the line that passes through the point (4,1)
and is parallel to the line 3x + 2y = 5

Answer 1

first you need to put 3x + 2y = 5 into y = mx + b form. That is how we will find the slope. Can you do this ?

Answer 2

uhm.. can you give me the answer and explain it..

Answer 3

3x + 2y = 5 (subtract 3x from both sides)
2y = -3x + 5 (now divide by 2)
y = -3/2x + 5/2

In the y = mx + b form, the m stands for the slope. Therefore,the slope in this equation is -3/2.

If you are looking for a parallel line, the slope is the same as the slope in your equation.

Now we will use this formula : y - y1 = m(x - x1)
slope(m) = -3/2
(4,1) x1 = 4 an y1 = 1

now lets sub...
y - 1 = -3/2(x - 4) -- distribute through the parenthesis
y - 1 = -3/2x + 6 -- add 1 to both sides
y = -3/2x + 6 + 1 -- combine like terms
y = -3/2x + 7 <-- slope intercept form

Now we need to rearrange this equation and put it in standard form
y = -3/2x + 7 -- add 3/2x to both sides
3/2x + y = 7 -- multiply the equation by 2 to get rid of fractions
3x + 2y = 14 <-- standard form

any questions ?

Answer 4

let me go though this. :) thanks in advance sir

Answer 5

not sir...I am a lady...lol
ook through it and if you have any questions, tag me :)

Answer 6

typo * look

Answer 7

oo.. my mistake,.. im sorry madam..

Answer 8

i assume that this 3x + 2y = 5 (subtract 3x from both sides) will look like this.

-3x+3x+2y=5

Answer 9

-3x+3x+2y=-3x+5

Answer 10

yes....I just didn't put EVERY step in.

Answer 11

3/2x + y = 7 -- multiply the equation by 2 to get rid of fractions how to multiply this?

Answer 12

2(3/2)x + 2(y) = (2)7
6/2x + 2y = 14
3x + 2y = 14

you just multiply by the LCD to get rid of the fractions

Answer 13

you understand it ?

Answer 14

yes :DD

Answer 15

thank you very much madam. ^^

Answer 16

lol...no problem :)

Answer 17

can i ask a few more questions?