# Graphic Organizer - Linear Equations by ashrafp

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```									                                Slope = rise    =m=                              y – intercept = b = the
run                                    point where the line
crosses the y axis =
difference of y’s                             starting point when
difference of x’s                             graphing

Graphing the line                                                                                       Special lines only contain
y-intercept and then
Linear                                                      one variable:
move the rise and then
the run. Positive slopes                          Equations                                         x = any number (vertical line)
Slope: Undefined

y = mx + b
increase from left to right.
Negative slopes decrease from
y = any number (horizontal line)
left to right
Slope : Zero

Finding the equation of                                                                       Finding the equation of
the line in y= mx + b                                                                         the line in y= mx + b form.
form. Given: slope                                  Finding the equation of                   Given: Two points.
and y-intercept.                                    the line in y = mx + b                    First find the slope (m)
Substitute the “m” with                             form. Given: slope                        and then substitute one of
the slope value and the                             (m) and a point                           the points x and y values
“b” with the y-intercept                            (x,y). Substitute x, y,                   into y = mx+b along with
value.                                              and m into y = mx+b                       the slope.
and find the value of b
(the y-intercept). Then
write the equation
substituting m and b
values into y = mx + b.

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