Presentation on theme: "Warm UP Graph the line which passes through (3, 2) and has a"— Presentation transcript:
1 Warm UP -3 -4 Graph the line which passes through (3, 2) and has a slope of3Warm UP4y+4Steps1) Plot the point.+32) Write slope as fractionand count off other points.3m =4x-3or m =-43) Draw line through points.
2 Note #6 Standards: 6.0 4.6 Using Slope Intercept Form Objective- To use slope and y-intercept to graph lines. ESLRS: Academic Achievers, Critical Thinkers Pg.241
3 Objective- To use slope and y-intercept to graph lines.Graph the line which passes through (-2, 1) and has aslope of -3.ySteps1) Plot the point.2) Write slope as fractionand count off other points.-3m = -3=1x-33or m =-1+13) Draw line through points.
4 Any linear equation which is solved for y is in Slope-Intercept Form of the Linear Equationy = mx + bAny linear equation which is solved for y is inslope-intercept form.Find the slope and y-intercept of the following linear equations:3) y = x - 455b = -41) y = 3x + 4m =88m = 3b = 42) y = 5x4) y = 6m = 5b = 0m = 0b = 6
5 -2 -3 Graph the following linear equation using slope and y-intercept. Steps1) Find the slope and y-intercept.+32) Plot the y-intercept.+2x3) Plot the slope.-22m =or m =-23-3-34) Draw line through points.
6 -1 -1 -2 Graph the following linear equation using slope and y-intercept.ySteps-2+11) Find the slope and y-intercept.-1+22) Plot the y-intercept.x3) Plot the slope.-11m =or m =2-24) Draw line through points.
7 Slope-Intercept Form of the Linear Equation Write and Graph a linear equation in the formy = mx + b given the following.1) m = 2, b = -34) m = 0, b = 6y = 2x - 3y = 62) m = , b = 55) m = , b = 03) m = , y-int.= 26) m = 1, b =
8 Write a linear equation in slope-intercept form to describe each graph.yyxxb = 3b = -4y = 2x + 3
9 Write a linear equation to describe this situation and graph. Juan has $200 and is saving $50 a week.Let x = # of weeksLet y = savings in dollarschangestart valuey = 50x + 200500400300200100y = mx + bSavingsSlopeY-interceptm = $50 / weekb = 200Weeks
10 Pam received $100 and spends $4 each week. 1) Write an equation for the money, y,she has after x weeks.y = x2) What are the slope and y-intercept?m = -4b = 100
11 Parallel Lines Graph the following on the coordinate plane. yxParallel lines have the same slope.
12 Tell whether the lines below are parallel. 1) 3x + y = y = -3x + 1-3x xy = -3x + 7m = -3y = mx + bSame slope!m = -3Lines are parallel!