SOLUTION: HERE ARE SOME SOLUTIONS OF LINE A (3,3) (5,)(15,15) (34,34)(678,678) (1234,1234) SOLUTIONS OF LINE B are: (3,-3) (5,-5) (15,-15)(34,-34)(678,-678) (1234,-1234) a. form the equat

Question 112035: HERE ARE SOME SOLUTIONS OF LINE A (3,3) (5,)(15,15) (34,34)(678,678) (1234,1234)
SOLUTIONS OF LINE B are: (3,-3) (5,-5) (15,-15)(34,-34)(678,-678) (1234,-1234)
a. form the equations of both line
b. what are the co-ordinates of the point of intersection of lines a and b?
c. write the co-ordinates of the intersections of lines a and b ith the x-axis
d. write the co-ordinates of the intersection of lines a and b with the y-axis
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
SOLUTIONS OF LINE (3,3) (5,)(15,15) (34,34)(678,678) (1234,1234)
SOLUTIONS OF LINE are: (3,-3) (5,-5) (15,-15)(34,-34)(678,-678) (1234,-1234)
a. form the equations of both line
We need to find equation of line:

Line
to find equation of form , where is slope, and is intercept, which passes through points (, ) = (, ) and (, ) = (, ), we need to calculate a slope
Slope is:
,
,

Intercept is found from equation:
��move to the right

Then, your equation is:

Line
to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (3, -3) and (x2, y2) = (5, -5), we need to calculate a slope
Slope is:
,
,

Intercept is found from equation:
��move to the right

Then, your equation is:

b. the co-ordinates of

of lines and
are : (,)

c. the co-ordinates of the intersections of lines and with the are (,)

d. the co-ordinates of the intersection of lines and with the are (,)

Solved by pluggable solver: Solve the System of Equations by Graphing

Start with the given system of equations:

In order to graph these equations, we need to solve for y for each equation.

So let's solve for y on the first equation

Start with the given equation

Subtract from both sides

Rearrange the equation

Divide both sides by

Break up the fraction

Reduce

Now lets graph (note: if you need help with graphing, check out this solver)

Graph of

So let's solve for y on the second equation

Start with the given equation

Add to both sides

Rearrange the equation

Divide both sides by

Break up the fraction

Reduce

Now lets add the graph of to our first plot to get:

Graph of (red) and (green)

From the graph, we can see that the two lines intersect at the point (,) (note: you might have to adjust the window to see the intersection)

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