SOLUTION: Trying to help the children with homework. Cartesian Coordinate System. If I can see one problem finished I maybe able to understand. Directions: Slope form both points

Question 257981: Trying to help the children with homework. Cartesian Coordinate System. If I can see one problem finished I maybe able to understand.
Directions: Slope form both points
2nd point slope form and verify
Write in standard form
Label and intercept
1. (4,7) (8,3)

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
Cartesian coordinate system just means on graph paper where there is an x and y.
You aren't real clear what you want. But based on the words you used I assume you want the slope form and standard form of an equation that has those two points.
Something to remember : There are an infinite number of equations that have those points.
given :(4,7) and (8,3)
formulas
standard form ax+by+c=0
slope form y=mx+b the b's are not the same!
In y=mx+b m is the slope and b is the y intercept (y when x=0)
To find the slope, we use (y-y)/(x-x)= m the slope
The slope is the gradient or incline or slant of the line.
our y's are 7 and 3
our x's are 4 and 8
Just keep the first and second in their place.
7-3/4-8=4/-4=-1
our slope is -1 which means the line slants down from left to right.
Now we have y=-1x+b
y=-x+b
now pick either point and plug in the x and y
(4,7) x=4 y=7
7=-4+b
add 4 to both sides
11=b
now we have all the info needed.
y=-x+11 is the slope intercept form
when x=0 then y=11
Now to get the standard form in the form ax+by+c=0
We want everything on one side
y=-x+11
add x and subtract 11
y+x-11=0
almost done
we need x first so we rearrange.
x+y-11=0 is the standard form
I don't know what "Label and intercept" means.
Label what and intercept what?
Do you need a graph too? and need to label the intercepts?
I suspect you copied something incorrectly.
RELATED QUESTIONS
I'm having difficulty with this problem. -6(5X+2)=198 I was wondering if you could solve (answered by checkley71)

I am trying to help my son with his homework, and it might as well be in a foreign... (answered by colliefan)

I'm trying to help my grandson with his math. Can you solve this for me? I think I may... (answered by scott8148)

I have been ill and have missed several weeks of school. I am trying to catch up now that (answered by josmiceli)

I am trying to help my child with her homework. So, if you can explain it to me, maybe I (answered by drk)

I have been ill and have missed several weeks of school. I am trying to catch up now that (answered by rothauserc)

Let's see if you guys can bail me out again tonight with another story problem. I... (answered by Theo)

I am not sure exactly where to start on this homework problem. I would like you to please (answered by mmm4444bot)

I understand that the irrationals are not closed under addition, mult, div, subtr, etc.... (answered by jim_thompson5910)