P.4 Lines in the Plane slope = steepness m =

September 01, 2009
P.4
Lines in the Plane
slope = steepness
m=
m=0
∆y
∆x
=
rise
run
=
m undef.
y2 - y1
x2 - x1
=
vertical
horizontal
m = (+)
m = (-)
September 01, 2009
September 01, 2009
Graph.
y = 2x + 3
y = 2x + 1
September 01, 2009
Find the slope of the line through the points
(4, -2) and (-1,-2).
September 01, 2009
Slope-Intercept Form: y = mx + b
Point-Slope Form: y - y1 = m(x - x1)
General Form: Ax + By + C = 0
*put in slope-int. form
September 01, 2009
Find the equation of the line through (-3,-4)
and m = 2 using:
a. Point-slope form
b. Slope-int. form
September 01, 2009
Graph.
2x + 3y = 6
September 01, 2009
Parallel and Perpendicular Lines
parallel lines have the SAME slope
perpendicular lines have OPPOSITE RECIPROCAL SLOPES
September 01, 2009
Find the equation of the following lines.
1. through (1, -2) and parallel to 3x - 2y = 1
2. through (6,1) and perpendicular to 3x - 5y = 15
September 01, 2009
Do #46 (Pg. 41)