*Trisha's
*
*Teaching
Tips*
*
This website will help you solve some basic algebra problems such as linear
and literal equations. It will also help with finding the equation
of a line using two points. Hopefully, this will help you out!
Linear
Equations
|
5(x-3)=20
|
First, distribute the 5 to both the x and
the -3.
|
|
5x-15=20
|
Add 15 to both sides. This will leave
the variable by itself.
|
|
5x=35
|
Next, divide both sides by 5 to leave only
1 "x".
|
|
x=7
|
Your solution for x is 7.
|
5(7-3)=20
5(4)=20
20=20
|
Substitute 7 in for x to check your answer.
|
Literal
Equations
**
Literal equations are also known as formulas.**
Solve
for "h":
A=bh
2
|
First, we want to kill our fractions so we
multiply both sides by 2.
|
|
2A=bh
|
Now divide both sides by b to leave "h" by
itself.
|
2A=h
b
|
This is your final equation.
|
Equations
for a line
Now,
I will show you how to write three different types of equations using two
points...
x--->(4,4)<---y
x--->(16,16)<---y
A helpful
step that will help you with all three types of equations is to first find
the slope...
Formula:
Y2-Y1
X2-X1
16-4=
12
16-4=
12
Since
your slope equals 12/12, we can also say the slope is equal to 1.
Now we can find the POINT SLOPE FORM...
Formula:
(y1-y)=m(x1-x)
Substitute
one y and one x from your points in for the x1 and y1 slots and put in
your slope for m.
(16-y)=1(16-x)
Now
distribute the one to both the 16 and the -x...
16-y=16-x
Subtract
16 from each side and then to get ride of the negative y, change all the
signs.
y=x
By
using point slope, we can now find the y- intercept. Since y=x ,
then this line intercepts the y-axis at the origin, (0,0). We can
now wrtie our SLOPE INTERCEPT FORM.
Formula:
y=mx+b
Plug
in your slope for m and your y-intercept for b...
y=1x+0
You
can now simplify this equation to be...
y=x
***
This answer is the SAME answer as we got using the point-slope
form. We can now find the last form of the equation...STANDARD FORM!
Formula:
ax+by=c
Using
your slope intercept form, get both variables on one side.
-1x+y=0
***There
can never be a negative or fractional number in the "a" value of this equation.***
Since there is this rule, we need to get ride of the negative so we change
all the signs.
1x-y=0
Simplify
this to...
x-y=0
***YOU'RE
FINISHED***
If
you still need some help visit the sites below...
To visit my
classmates pages click here
.
To
visit my school's web page click here
.