Objective- To use slope and y-intercept to

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Objective - To graph linear equations using the slope and y-intercept.

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Presentation transcript:

Objective- To use slope and y-intercept to graph lines. Graph the line which passes through (-2, 1) and has a slope of -3. y Steps 1) Plot the point. 2) Write slope as fraction and count off other points. -3 m = -3 = 1 x -3 3 or m = -1 +1 3) Draw line through points.

-3 -4 Graph the line which passes through (3, 2) and has a slope of . y +4 Steps 1) Plot the point. +3 2) Write slope as fraction and count off other points. 3 m = 4 x -3 or m = -4 3) Draw line through points.

-3 -3 -3 Graph the line which passes through (-5, 4) and has a slope of . -3 2 y Steps 1) Plot the point. -3 2) Write slope as fraction and count off other points. -3 +2 m = 2 x 3) Draw line through points.

-2 -5 Graph the line which passes through (-1, -3) and has a slope of . 2 5 y Steps 1) Plot the point. 2) Write slope as fraction and count off other points. 2 m = 5 +5 x -2 or m = -5 +2 3) Draw line through points.

-1 -1 -1 Graph the line with a y-intercept of 4 which has a slope of . 2 y Steps 1) Plot the point. -1 2) Write slope as fraction and count off other points. +2 -1 m = 2 x 3) Draw line through points.

Any linear equation which is solved for y is in Slope-Intercept Form of the Linear Equation y = mx + b Any linear equation which is solved for y is in slope-intercept form. Find the slope and y-intercept of the following linear equations: 4) y = x - 4 5 5 b = -4 1) y = 3x + 4 m = 8 8 m = 3 b = 4 -2 -2 -1 2) y = -2x - 1 5) y = x - 1 m = b = 9 4 9 4 m = -2 b = -1 3) y = 5x 6) y = 6 m = 5 b = 0 m = 0 b = 6

Slope of Horizontal and Vertical Lines Horizontal Lines Vertical lines x = -3 y = 2 Does not fit y = mx + b y = 0x + 2 m = 0 m = undefined y y x = -3 y = 2 x x

Slope of Horizontal and Vertical Lines Horizontal Lines Vertical lines (-2,2) (1,2) (-3,2) (-3, -1) y y x = -3 (-2,2) (1,2) y = 2 (-3,2) x x (-3,-1)

-1 - 2 -3 - -3 -3 Slope of Horizontal and Vertical Lines y2- y1 y2- y1 Horizontal Lines Vertical lines (-2,2) (1,2) (-3,2) (-3, -1) 1 2 1 2 y2- y1 y2- y1 m = m = x2- x1 x2- x1 2 - 2 -1 - 2 m = m = 1 - -2 -3 - -3 -3 m = m = 3 Watch Out! m = undefined or there is “no slope” m = 0 m = 0 for all Horizontal Lines m = undefined for all Vertical Lines