SOLUTION: write the equation for a solution line that has the solution points of (4,1) and (-2,4). <P> what unique ordered pair will satisfy both of the following equations: 5x+2y=1 2x+3

Algebra.Com
Question 37962: write the equation for a solution line that has the solution points of (4,1) and (-2,4).


what unique ordered pair will satisfy both of the following equations:
5x+2y=1
2x+3y=7


AND, last but not least...
write the equation point that has the solution point's (3,2) and (1,0)
PLEASE EXPLAIN HOW TO GET THE ANSWERS THANKS A BUNCH.
~EVY~

Answer by sonimyke(4)   (Show Source): You can put this solution on YOUR website!
Equation for a solution line that has the solution points of (4,10) and (-2,4).
First, find the slope of the line using the formula (y1-y2)/(x1-x2)
y1=10, y2=4, x1=4, x2=-2.
slope=10-4/4--2
slope=6/6
slope=1
Secondly, find the y-intercept by substituting values for the variables in the equation y=mx+b. I will use the point (4,10).
10=1(4)+b
10=4+b
10-4=b
6=b
b=6 so the y-intercept is 6.
there fore, the equation of the line is going to be y=x+6.

what unique ordered pair will satisfy both of the following equations:
5x+2y=1-equation 1
2x+3y=7-equation 2
multiply equation 1 through by 3 and equation 2 through by 2.
the new equations are going to be
15x+6y=3-equation 1
4x+6y=14-equation 2
subtract equation 2 from equation 1
15x+6y= 3
- 4x+6y=14
you should then getthe equation
11x=-11
11x/11=-11/11 (divide both sides by 11)
x=-1
to find y, substitute -1 in any one of the equations for x.
5(-1)+2y=1
-5+2y=1
2y=1+5
2y=6 (divide both sides by 2)
y=3
therefore, the unique ordered pair is (-1,3)
write the equation point that has the solution point's (3,2) and (1,0)
Like the first question I solved, you first find the slope.
2-0/3-1=2/2
slope=1
I would like to use the point (3,2) to find the y-intercept.
y=mx+b
2=1(3)+b
2=3+b
2-3=b
-1=b
Since b=-1, the y-intercept is -1.
therefore, the equation is going to be y=x-1

RELATED QUESTIONS

1. Find the slope of the line that passes through the points (-3, -5) and (3, 2).... (answered by tutorcecilia)
1. Find the slope of the line that passes through the points (-3, -5) and (3, 2).... (answered by stanbon)
Given the equation 4x-2y=12 What is the slope of this line? What is the... (answered by Theo)
Please help I have tried and cant come up with the solution. . Find the equation, in... (answered by ankor@dixie-net.com)
which ordered pair is a solution of the equation {{{y=x^2-4}}} and... (answered by solver91311)
A pair of equations is shown below: y = 6x – 4 y = 5x – 3 Part A: In your own... (answered by Fombitz)
1.what is the ordered pair to the solution of y= x-8 2. Determine the equation of... (answered by Mathtut)
can you please helm me on these equations.thank you 1. Find the slope of the line that... (answered by stanbon)
Verify that the ordered pair (2, 4) is a solution to the equation 3x + 4y = 22 (answered by checkley77)