SOLUTION: 1# question: find the equation of the line, find the slope and y-intercept, plot the points and line. 1. (5,20), (15,5) 2. (14,4), (15,2) 2# question: find the slope

Algebra ->  Coordinate-system -> SOLUTION: 1# question: find the equation of the line, find the slope and y-intercept, plot the points and line. 1. (5,20), (15,5) 2. (14,4), (15,2) 2# question: find the slope       Log On


   



Question 132721: 1# question: find the equation of the line, find the slope and y-intercept, plot the points and line.
1. (5,20), (15,5)
2. (14,4), (15,2)
2# question: find the slope and y-intercept, plot the line.
1. y= 6x + 3
2. y=2x + 10
3. y + 5 = x
_____
4
4. y-10 = x
____
-5
I heard about your site through my classmate. I appreciate if you could show me the steps all the way through.... Thanks again, Nancy A. Ignacio

Answer by elima(1433) About Me  (Show Source):
You can put this solution on YOUR website!
1# question: find the equation of the line, find the slope and y-intercept, plot the points and line.
1. (5,20), (15,5)
2. (14,4), (15,2)
==============================
We first will find th slope;
s=%28y1-y2%29%2F%28x1-x2%29
s=%2820-5%29%2F%285-15%29=15%2F-10
s=-3%2F2
Now lets find y-intercept, which in the slope-intercept form y=mx+b, the b=y-intercept;m=slope
We take either one of the points, and plug them into the equation;
20=-%283%2F2%295%2Bb, now we solve for b;
20=%28-15%2F2%29%2Bb
20%2B15%2F2=b
like denominators to add whole number with fraction;
%2840%2F2%29%2B%2815%2F2%29=b
55%2F2=b
44%281%2F2%29=b
So our equation will be;
y=-3%2F2x%2B44%281%2F2%29
-----------------------------------
(14,4), (15,2)
s=%284-2%29%2F%2814-15%29
s=2%2F-1
y=-2x%2Bb
4=-2%2814%29%2Bb
4=-28%2Bb
4%2B28=b
b=32
So our equation is;
y=-2x+32
=======================================
2# question: find the slope and y-intercept, plot the line.
1. y= 6x + 3
2. y=2x + 10
3. y + 5 = x
------------------------
1. s=6, y-intercept=3
graph+%28400%2C400%2C+-12%2C12%2C-12%2C12%2C+6x%2B3%29
2. s=2 y-intercept=10
graph+%28300%2C300%2C+-8%2C8%2C-8%2C18%2C+2x%2B10%29
-----------------------------------------------
3.%28+y+%2B+5%29%2F4+=+x+
Let's first put this in slope-intercept form;
Multiply each side by 4,
y+5=4x
then subtract 5 from each side;
y=4x-5
Now graph:
graph+%28300%2C300%2C+-10%2C10%2C-10%2C10%2C+4x-5%29
4. %28y-10%2F-5%29+=+x
Let's do the same here;
multiply each side by -5;
y-10=-5x
subtract 10 from each side;
y=-5x+10
graph+%28300%2C300%2C+-10%2C12%2C-10%2C12%2C+-5x%2B10%29

:)