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WARM UP Evaluate the expression when x = -3 and y = 6. (lesson 2.8) 1. x • y 2. x 2 y 4

WARM UP 4 3 2 1 0 0 YOU’RE CERTIFIED! 5.3 Writing Linear Equations Given Two Points Today’s Schedule: Lesson 5.3 Powerpoint Lesson 5.3 Powerpoint

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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