algebra 2 slope
TRANSCRIPT
Slope
Slope
ym
x
Example 1Find the slope between the points (1, 4)
& (3, -4)
Types
3 BiggiesSlope
Point
Equation Slope Intercept
y = mx + b
Standard Form
ax + by = c
Linear Equations
Example 2 Find the equation of the line between
the points (0, -4) & (13, 9)
Example 3 Find the equation of the line containing
the point (-2, 6) and with a slope of 7
Try These• Find the equation of the line between
( 4, 3) & (5, 7)
• Find the equation of the line with a y-int of 6 and slope of 5 in STANDARD form.
y= 4x -13
5x –y=-6
Real World
Rate of Change The volume of water in lake Eggbert was
8,000 cubic feet in October and 4,500 cubic feet in November. Find the average rate of change for the lake.
Special Cases
Parallel Lines
Parallel Lines
Parallel lines have the same slope, but different y-intercepts
y = 3x + 4
y= 3x -6
Perpendicular Lines
y = 4x -2
y= -1/4 x -3
Example 4 Find the equation of the line containing the
point (-1, 17) and parallel with the line y=3x-4
Sketch Pad
Example 5 Find the equation of the line containing the
point (-8, -5) and perpendicular with the line 2x+5y =2.
Example 6 Find the equation of the line with x-int of
5 and parallel to the line (y-1)=5(x +2).
Slope in a Nutshell