WARM UP Find three solutions to each equation. (lesson 4.2) 1.y = 1/2x + 3 2.y = -3/2x + 7 3.y = -2x - 4 4 XY.

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Presentation transcript:

WARM UP Find three solutions to each equation. (lesson 4.2) 1.y = 1/2x y = -3/2x y = -2x XY

WARM UP Find three solutions to each equation. (lesson 4.2) 1.y = 1/2x y = -3/2x y = -2x XY

WARM UP Find three solutions to each equation. (lesson 4.2) 1.y = 1/2x y = -3/2x y = -2x XY

WARM UP Find three solutions to each equation. (lesson 4.2) 1.y = 1/2x y = -3/2x y = -2x XY

WARM UP Find three solutions to each equation. (lesson 4.2) 1.y = 1/2x y = -3/2x y = -2x XY

5.2 Point-Slope Form Today’s Schedule: Lesson 5.2 Powerpoint Lesson 5.2 Powerpoint In class assignment/homework In class assignment/homework Exit Slip Exit Slip GOAL: Use point-slope form to write the equation of a line. KEY WORDS: slope, point-slope form

5.2 Point-Slope Form POINT-SLOPE FORM OF THE EQUATION OF A LINE The point-slope form of the equation of the line through (x 1, y 2 ) with slope m is y – y 1 = m(x – x 1 )

WRITING EQUATIONS Write in point-slope form the equation of the line that passes through the given point and has the given slope. (7, 7) M = -2

WRITING EQUATIONS Write in point-slope form the equation of the line that passes through the given point and has the given slope. (-8, -22) M = 3

WRITING EQUATIONS Write in point-slope form the equation of the line that passes through the given point and has the given slope. (-10, 0) M = 2

WRITING EQUATIONS Write in point-slope form the equation of the line that passes through the given point and has the given slope. (-8, -2) M = 2

WRITING EQUATIONS Write in point-slope form the equation of the line that passes through the given point and has the given slope. (-4, 3) M = -6

WRITING EQUATIONS Write in point-slope form the equation of the line that passes through the given point and has the given slope. (-3, 4) M = 6

COMPARING FORMS Write in point-slope form the equation of the line. Then rewrite the equation in slope-intercept form. (2, 3) M = 1

COMPARING FORMS Write in point-slope form the equation of the line. Then rewrite the equation in slope-intercept form. (12, 2) M = -7

COMPARING FORMS Write in point-slope form the equation of the line. Then rewrite the equation in slope-intercept form. (8, -1) M = 0

WRITING EQUATIONS OF PARALLEL LINES Write in slope-intercept form the equation of the line that is parallel to the given line and passes through the given point. y = -2x + 3 (0, 5)

WRITING EQUATIONS OF PARALLEL LINES Write in slope-intercept form the equation of the line that is parallel to the given line and passes through the given point. y = 4x + 1 (1, 0)

WRITING EQUATIONS OF PARALLEL LINES Write in slope-intercept form the equation of the line that is parallel to the given line and passes through the given point. y = 2x – 11 (3, 4)

WRITING EQUATIONS OF PARALLEL LINES Write in slope-intercept form the equation of the line that is parallel to the given line and passes through the given point. y = 7x – 1 (8, 0)

CHOOSING A FORM Now you know two ways to write linear equations: slope-intercept form or in point- slope form. Depending on the information you are given, sometimes it is easier to write a linear equation in one form rather than the other.