Question

plz help...


use the point on the line and the slope of the line to find the general form of the equation of the line

(0, 7/8) m=-4/5

Answer 1

general form
ax+by+c = 0

Answer 2

start from point-slope form
given the point \((x_0,y_0)\) and the slope \(m\) we get the formula\[y-y_0=m
(x-x_0)\]distribute the given \(m\) and rearrange the expression so that it is equal to zero, giving the equation in general form.

Answer 3

i know thsi part but i do not know how to change it to general form afterwards

Answer 4

I can always rearrange this expression to solve for for 0;\[y-y_0=m(x-x_0)\]\[y-y_0=mx-mx_0\]\[y-mx+mx_0-y_0=0\]notice that the last two terms are a constant, which will be c in your equation\[y-mx+(mx_0-y_0)=0\]which is the same as\[ay+bx+c=0\]

Answer 5

can u plz use the numbers instead of the variables so i could understand

Answer 6

if the point were\[(x_0,y_0)=(1,3)\]and the slope were \(m=2\) it would be\[y-y_0=m(x-x_0)\]\[y-3=2(x-1)\]\[y-3=2x-2\]\[y+2x-1=0\]

Answer 7

is there a rule for having the general form other than switching number and variables ?around

Answer 8

numbers*

Answer 9

the rule is that the general form is the form you wrote:
ax+by+c=0
if the equation looks like that, it's in general form; that's the definition

Answer 10

you also want to eliminate any fractions; so you may need to multiply by something
you may have to do slightly different algebra tricks to get it from one form to another

in this case you are given a point and a slope, so you have to use that info

if you know point-slope form well enough you can save yourself some time, but you are safer starting from what I suggested I think....

Answer 11

that was my main concern ^^ so i got to this point and i solved for it
y+ 4/5x -7/8 = 0

now how do i do the cancellation of the fraction part?

Answer 12

for the fraction part okay. just multiply both sides of the whole equation by 5 first, and see what happens.

Answer 13

ok

i got 5y+ 4x -35/8 = 0

Answer 14

great now do the same, this time multiply every thing by 8.

Answer 15

@Nali where are you stuck now?

Answer 16

i was stuck in the cancellation part
that will give e big numbers 40y + 32x - 35= 0

Answer 17

it is ok thanks to all