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YOURE CERTIFIED!65.3 Writing Linear Equations Given Two PointsTodays Schedule:Lesson 5.3 PowerpointIn class assignment/homeworkGoalWrite an equation of a line given two points on the line.Key WordsSlopeSlope-intercept formPoint-slope form
5.3 Writing Linear Equations Given Two PointsEXAMPLE 1 Use a graphSolution 1 Find the slope.
(0, 2)(-4, 5)m = y2 y1x2 - x15.3 Writing Linear Equations Given Two PointsEXAMPLE 1 Use a graphSolution 2 Write the equation of the line. From the graph you can see the y-intercept is b = 2. Use slope-intercept form.
y = mx + b
(0, 2)(-4, 5)5.3 Writing Linear Equations Given Two Points
Additional examples: Write the equation of the line in slope-intercept form.
(0, 3)(4, 5)(2, -3)(1, 2)5.3 Writing Linear Equations Given Two PointsEXAMPLE 2 Write an Equation of a Line Given Two PointsWrite in slope-intercept form the equation of the line that passes through the points (3, -2) and (6, 0). 1 Find the slope.y2 y1x2 - x1m = 5.3 Writing Linear Equations Given Two PointsEXAMPLE 2 Write an Equation of a Line Given Two PointsWrite in slope-intercept form the equation of the line that passes through the points (3, -2) and (6, 0). 2 Write the equation of the line. Use point-slope form, because you do not know the y-intercept.
y y1 = m(x x1)5.3 Writing Linear Equations Given Two Points
(3, -2)(6, 0)5.3 Writing Linear Equations Given Two PointsAdditional examples: Write in slope-intercept form the equation of the line that passes through the given points.(2, 3) and (4, 7)(-4, 5) and (2, 2)(1, -1) and (4, -4)
5.3 Writing Linear Equations Given Two PointsYOUR TURNPage 288 #s 3 - 23