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The general form of a
linear
equation is ax + by = c, where a and b are
non-zero
coefficients.
Solving
a
linear
equation involves using
inverse
operations to
isolate
the variable.
Linear
equations can have
one
solution,
no
solution, or
infinitely
many solutions.
If the graphs
intersect
at
one point
, it
represents
the
solution
to the
system.
To solve an equation with
two
variables
, we can use
substitution
or
elimination
methods.
Substitution method
: Replace
one
variable with its equivalent expression from another equation.
Elimination method:
Add
/
subtract
equations to
eliminate
one variable.
The
axis of symmetry
passes through the
x-coordinate
of the
vertex
(h).
Linear Equation Formula
y =
mx + c
Quadratic
Equation Formula
ax^2 + bx +
c =
0
y =
mx
+
c
y =
slope
times x plus
y-intercept
Distance Formula
distance between (
x1
,
y1
) and (
x2
,
y2
)