High School Academics

1. SLOPESLOPE
The ratio of the vertical change toThe ratio of the vertical change to
the horizontal changethe horizontal change

2. IN LAYMAN’S TERMS:IN LAYMAN’S TERMS:

3. HOW IT’S FIGURED:HOW IT’S FIGURED:
STEEPNESS =
___________________VERTICAL CHANGE
HORIZONTAL CHANGE
SLOPE (m) =
___________________Change in Y-axis
Change in X-axis
**OR**

4. WORK TIME!WORK TIME!
Find the slope of a line that
contains points A(-2, 5) B(4, -5)

5. HERE’S HOW YOU SOLVE IT:HERE’S HOW YOU SOLVE IT:
SLOPE (m) =
___________________Change in Y-axis
Change in X-axis
m of line AB =
___________________5 – (-5)
-2 - 4
=
___________________10
-6
=
___________5
3
-

6. NOW TRY THESE ON YOUR OWNNOW TRY THESE ON YOUR OWN
Find the slope of a line that
contains each pair of points:
1. R(9, -2) S(3, -5)
2. M(7, -4) N(9, 4)

7. True or False??True or False??
ALL HORIZONTAL LINES
HAVE THE SAME SLOPE

8. TWO LINES MAY HAVETWO LINES MAY HAVE
THE SAME SLOPETHE SAME SLOPE

9. A LINE WITH A SLOPE OF 1
PASSES THROUGH THE ORIGIN

10. THE ANSWERS!THE ANSWERS!
#1: All horizontal lines have the same slope. TRUE
#2: Two lines may have the same slope. TRUE
#3: A line with a slope of 1 passes through the origin. FALSE