SLOPE The ratio of the vertical change to the horizontal change

IN LAYMAN’S TERMS:

HOW IT’S FIGURED: STEEPNESS = ___________________ VERTICAL CHANGE HORIZONTAL CHANGE SLOPE (m) = ___________________ Change in Y-axis Change in X-axis **OR**

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

HERE’S HOW YOU SOLVE IT: SLOPE (m) = ___________________ Change in Y-axis Change in X-axis m of line AB = ___________________ 5 – (-5) = ___________________ = ___________ 5 3 -

NOW 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)

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

TWO LINES MAY HAVE THE SAME SLOPE

A LINE WITH A SLOPE OF 1 PASSES THROUGH THE ORIGIN

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

Use the Slope to Graph a Line  You will need an ordered pair and the slope  Graph the line that passes through (1,4) and has a slope.