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 = -2 x - 1 m = -2 b = -1 y = 5 x y = 3 x + 4 m=3 b=4 1 2 y= x 9 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 = 2 x - 3 m= , b=5
Graph the following linear equation using slope and y-intercept. Steps y 1) Find the slope and y-intercept. +2 +3 x 2) Plot the y-intercept. 3) Plot the slope. 2 2 m = or m = -3 3 4) Draw line through points. -2 -3
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 b=3 y = 2 x + 3 2 b = -4
Parallel Lines Graph the following on the coordinate plane. y x Parallel lines have the same slope.
Tell whether the lines below are parallel. 1) 3 x + y = 7 -3 x y = -3 x + 7 y = mx + b m = -3 y = -3 x + 1 m = -3 Same slope! Lines are parallel!