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4.7 Graphing Lines Using Slope Intercept Form Goal: Graph lines in slope intercept form. Slope-Intercept Form of the Linear Equation y=m mx + b = slope = y-intercept Any linear equation which is solved for y is in slope-intercept form. Find the slope and y-intercept of the following linear equations: y = -2x - 1 m = -2 b = -1 y = 5x y = 3x + 4 m=3 b=4 1 2 y= x9 4 2 m= 9 1 b= 4 m=5 b=0 Write a linear equation in the form y = mx + b given the following. m = 2, b = -3 y = 2x - 3 2 m= ,b=5 3 2 y x5 3 Graph the following linear equation using slope and y-intercept. 2 y Steps 3 x 1 y 1) Find the slope and y-intercept. 2 b 1 m +3 3 +2 2) Plot the y-intercept. 3) Plot the slope. 2 2 m = or m = -3 3 4) Draw line through points. -2 -3 x Graph the line which passes through (-2, 1) and has a slope of -3. Steps y 1) Plot the point. 2) Write slope as fraction and count off other points. -3 -3 m = -3 = 1 3 +1 or m = -1 3) Draw line through points. x Graph the line which passes through (3, 2) and 3 has a slope of . 4 Steps y +4 1) Plot the point. 2) Write slope as fraction and count off other points. 3 m= 4 -3 or m = -4 3) Draw line through points. +3 x Write a linear equation in slope-intercept form to describeyeach graph. y = mxy+ b 8 x x -6 4 2 m 1 b=3 y = 2x + 3 2 b = -4 1 m 3 1 y x4 3 Parallel Lines Graph the following on the coordinate plane. 1 y x3 2 1 m 2 b 3 y 1 y x 1 2 1 m x 2 b 1 Parallel lines have the same slope. Tell whether the lines below are parallel. 1) 3x + y = 7 -3x -3x y = -3x + 7 y = mx + b m = -3 y = -3x + 1 m = -3 Same slope! Lines are parallel!