The (Ultimate) Geometry Review Sheet Page 12
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15(y – y
) = m(x – x
): point-slope form where (x
, y
) are the coordinates of a point on the
1
1
1
1
line and m = slope
Ax + By = C: standard form where A and B are coefficients and cannot be 0, and where C is a
constant
---------------------------------------------------------------------------------------------------------------------------------------
to graph a line in slope-intercept form, graph the y-intercept (b) on the y-axis, and use the slope,
rise
m
, to find more points.
run
---------------------------------------------------------------------------------------------------------------------------------------
finding intercepts:
-to find the y-intercept, let x = 0 and solve for y, when given the equation of the line
-to find the x-intercept, let y = 0 and solve for x, when given the equation of the line
-otherwise, the y-intercept is the point on the line that “meets” or “hits” the y-axis, and the x-intercept
“meets” or “hits” the x-axis.
---------------------------------------------------------------------------------------------------------------------------------------
Thm: Two nonvertical lines are parallel iff their slopes are equal
Thm: Two nonvertical lines are perpendicular iff the product of their slopes is -1.
ex: y = 3x + 4 and y = 3x – 5 are parallel lines, where y = 2x + 1 and y = -½x are perpendicular lines
---------------------------------------------------------------------------------------------------------------------------------------
)…
2
2
d
(
x
x
)
(
y
y
)
Distance formula: when given two points, (x
, y
) and (x
, y
1
1
2
2
2
1
2
1
---------------------------------------------------------------------------------------------------------------------------------------
x
x
y
y
)… M =
1
2
1
2
,
Midpoint formula: when given two points, (x
, y
) and (x
, y
quadrants of
1
1
2
2
2
2
the coordinate plane:
---------------------------------------------------------------------------------------------------------------------------------------
Systems of linear equations: solve graphically OR by elimination or substitution
*refer to the following websites for help:
Graphically…
Substitution method…
Elimination method…
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education