SOLUTION: I have one question that has three parts to it part A , Part B, and Part C part a is Can you give me your definition of Linear Equations? Part B is there a formula for linear

Algebra.Com
Question 1011791: I have one question that has three parts to it part A , Part B, and Part C
part a is Can you give me your definition of Linear Equations?
Part B is there a formula for linear equations?
Part C is how can i memorize how to solve for linear equations using statement and reason.

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
part a: An equation that makes a straight line when it is graphed.
Often written in the form:
what it means:
= how far up
= how far along
= Slope or Gradient (how steep the line is)
= the y-intercept (where the line crosses the y axis)
How do you find "" and ""?

is easy: just see where the line crosses the axis and you do it by setting in given equation and solving for
(the Slope) needs some calculation:
which means if you are given two points that lie on a line and their coordinates are (,) and (,), then slope is


Example:
=> => => y-intercept is at (,)
=>
to graph it make a table for two points
|
|...we already have it
|.....choose any value for and find the matching value for ; if then =>
plot points and draw a line through



Example: you might be given a graph like this

and asked to find the equation of that line
first what we see from the graph is that the line goes through origin; so, we know that
so, your equation will be or just and we need to find a slope
as you see from a graph, if that and if that
so, you have points
(,)=(,)
and
(,)=(,)


then you can find the slope:





and your equation is





RELATED QUESTIONS

i don't have the actual graph but it says the graph below shows the solution to y=2x-5.... (answered by ankor@dixie-net.com)
. A company has three machines A, B and C which all produce the same two parts, X and Y.... (answered by ikleyn)
A company has three machines A, B and C which all produce the same two parts, X and Y.... (answered by ikleyn)
respected sir , i really want your help for this problem , I failed miserably all... (answered by lwsshak3)
A company that manufactures inline skates needs to order three parts—part A, part B,... (answered by Theo)
Hello and thank you for taking the time to help me with this. I have figured out the... (answered by Theo)
I am having trouble with word problems: The question I have is: Divide 72 into three... (answered by lwsshak3,josmiceli,MathLover1)
GRAPHICAL ANALYSIS OF DATA 1. The list below shows the ages of the first 20 fans to... (answered by ikleyn)
A company has three machines A, B and C which all produce the same two parts, X and Y.... (answered by ikleyn)