Graphing lines using slopeintercept

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Published on February 16, 2014

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Mathematics

Graphing Lines Using Slope I http://www.mathsisfun.com/graph/straight_line_graph.html

Slope-Intercept Form of the Linear Equation y=m +b mx = 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 = 3x + 4 m=3 b=4 -2 x - 1 y= 9 4 -2 b = -1 m=9 4 y = -2x - 1 m = -2 b = -1 y = 5x 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 = x+5 3

Graph the following linear equation using slope and y-intercept. 2 Steps y= 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 or m = -2 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 2 m= 1 4 b=3 y = 2x + 2 b = -4 1 m= −3 1 y = − x −4 3

Parallel Lines Graph the following on the coordinate plane. y 1 1 y = x −1 y = x−3 2 2 1 1 m= m= x 2 2 b = −3 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!

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