5.3 Slope-intercept form Identify slope and y-intercept of the graph & graph an equation in slope- intercept form. day 2

Write an equation of the line in slope-intercept form that passes through the points (2,1) and (5,-8). y = mx + b m = b = (x 1, y 1 ) (x 2, y 2 ) m = ___-___ = -9 3 = y = mx + b Solve for b: x = y = = -3( 2) + b 1 = -6 + b 7 = b 7 y = -3x + 7

Write an equation of the line in slope-intercept form that passes through the points (-3,4) and (2,-1). y = mx + b m = b = (x 1, y 1 ) (x 2, y 2 ) m = ___-___ = -5 5 = -1 y = mx + b Solve for b: x = y = = -1( -3) + b 4 = 3 + b 1 = b 1 y = -1x + 1

y = mx + b y = ¾x + 1 Steps to graph an equation in slope-intercept form. 1.Identify m and b m = b = ¾ 1 2. Put the y-intercept (b) on the y-axis. 3.Use your slope to get to the next point. Rise ---if positive: go up; if negative: go down Run--- go to the right 4. Connect the points.

y = mx + b y = 3x Steps to graph an equation in slope-intercept form. 1.Identify m and b m = b = 3= 0 2. Put the y-intercept (b) on the y-axis. 3.Use your slope to get to the next point. Rise ---if positive: go up; if negative: go down Run--- go to the right 4. Connect the points. 3131

y = mx + b y = 4 Steps to graph an equation in slope-intercept form. 1.Identify m and b m = b = Put the y-intercept (b) on the y-axis. 3.Use your slope to get to the next point. Rise ---if positive: go up; if negative: go down Run--- go to the right 4. Connect the points.

y = mx + b y = -1x + 4 Write an equation in slope-intercept form. 1.Identify m and b m = b = 4 Or y = -x + 4

Assignment: page 312: 22-34,37-39, 48,49 Note: 27: will have a decimal for the y- intercept