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## Slope & Slope-Intercept Equations

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**IN LAYMAN’S TERMS:**Slope is the measure of the steepness of a line!**HOW IT’S FIGURED:**VERTICAL CHANGE ___________________ STEEPNESS = HORIZONTAL CHANGE **OR** Change in Y-axis ___________________ SLOPE (m) = Change in X-axis**Steps**• Determine Point 1 & 2 • Label x1, y1, x2, y2 • Substitute in the formula:**WORK TIME!**Find the slope of a line that contains points A(-2, 5) B(4, -5)**HERE’S HOW YOU SOLVE IT:**Change in Y-axis ___________________ SLOPE (m) = Change in X-axis 5 – (-5) ___________________ m of line AB = -2 - 4 10 ___________________ = -6 5 ___________ - = 3**NOW TRY THESE ON YOUR OWN**Find the slope of a line that contains each pair of points: • R(9, -2) S(3, -5) • M(7, -4) N(9, 4)**True or False??**ALL HORIZONTAL LINES HAVE THE SAME SLOPE**THE ANSWER!**#1: All horizontal lines have the same slope. TRUE**TWO LINES MAY HAVE**THE SAME SLOPE**THE ANSWER!**#2: Two lines may have the same slope. TRUE**A LINE WITH A SLOPE OF 1**PASSES THROUGH THE ORIGIN**THE ANSWER!**#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 .