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The exponent of each variable is 1.
The variables are added or subtracted.
A or B can equal zero.
A>0
Besides x and y, other commonly used variables
are m and n, a and b, and r and s.
 There are no radicals in the equation.
 Every linear equation graphs as a line.
Equation is in
form
When B=0, then
Rewrite with both variables
6y = 3 – x
(add x on both sides)
Multiply both sides of the
equation by
Multiply both sides of the equation
by 3 …
The following equations are NOT in the
standard form of
:
x4
The
is the point where a line
crosses the
.
 The general form of the x-intercept is (x, 0).
The y-coordinate will always be zero.
The
is the point where a line
crosses the
 The general form of the y-intercept is (0, y).
The x-coordinate will always be zero.
 For the equation 2x + y = 6, we know that
must equal 0. What must x equal?
 Plug in 0 for y and simplify.
2x + 0 = 6
2x = 6
x=3
 So (3, 0) is the x-intercept of the line.
y
For the equation 2x + y = 6, we know that x must
equal 0. What must y equal?
Plug in 0 for x and simplify.
2(0) + y = 6
0+y=6
y=6
So (0, 6) is the y-intercept of the line.
 To find the x-intercept, plug in 0 for y.
 To find the y-intercept, plug in 0 for x.
 x-intercept:
 Plug in y = 0
x = 4y - 5
x = 4(0) - 5
x=0-5
x = -5
 (-5, 0) is the

x-intercept
 y-intercept:
 Plug in x = 0
x = 4y - 5
0 = 4y - 5
5 = 4y
=y


5
(0, )
4
is the
y-intercept
x-intercept
Plug in y = 0
6x - 3y = -18
6x -3(0) = -18
6x - 0 = -18
6x = -18
x = -3
(-3, 0) is the
 x-intercept
 y-intercept
 Plug in x = 0
6x -3y = -18
6(0) -3y = -18
0 - 3y = -18
-3y = -18
y=6
 (0, 6) is the

y-intercept
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