Algebraic Formulas
Characteristics of Lines
Equations of Lines
100

y=mx+b

This formula is an example of...?


Slope Intercept Form

100

Parallel lines are ____________.

Coplanar.

100

What is the equation of a parallel line to the eqaution   y=-7x-5 that goes through A(1,3)?

y=-7x+10

200

Y2-Y1=m(X2-X1)

This formula is an example of...?

Point Slope Form

200

Skew lines are __________.

Non-Coplanar

200

What is the equation of a perpendicular line th the eqaution y=1/4x-2 that goes through A(-12,4)?

y=-4x-44

300

This is an example of midpoint formula. (Write out on white board)

Response on white board

300

y=-1x+5

-3y=3x+9

These lines are _________.

Parallel

300

Write the eqaution in point slope form.


m=13  (-3,8)

y-8=-3(x+3)

400

What is the stregnth of standard form?

Ex: Ax+By=C

Finding the X and Y Intercepts.

400

y=-1x+5

y=x+30

These lines are _________.

Perpendicular.

400

Perpendicular to y=-7/3x-1 and goes through (14,5/2). In Point Slope Form.

y-5/2=3/7(x-14)

500

What is Distance Formula? (Write on white board)

Hint: Think of pythagorean theorem.

a= change in X

b= change in Y

c2= distance 

Write out on white board

500

Perpendicular lines have ________ __________ as their slopes.

Negative (Opposite) Reciprocals.

500

What is the equation of a perpendicular bisector to AB wher A(-1,5) and B(3,11)? point slope form.

y-8=-2/3(x-1)

M
e
n
u