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