Quiz: Complete on a sheet of paper Write in slope-intercept form: 1.)2x – 3y = 122.) x = 2 + 3y Write the slope-intercept form of an equation of the line that satisfies each condition: 3.) Has slope 3 and y-intercept -5 4.) Passes through (5, -7) and has a slope of 3 5.) Passes through (6, -3) and (12, -3) 6.) Has an x-intercept of -2 and a y-intercept of 4

Consider the points, (3, 7), (-6, 1) and (9, p), on the same line. Find the value of p and explain your steps. The x-intercept of a line is p, and the y-intercept is q. Write an equation of the line.

Wed, 1/20/10 SWBAT… write equations using standard and point-slope form Agenda 1.WU (15 min) 2.Notes on point-slope form with 8 examples (35 min) Warm-Up: Work on yesterday’s problem OR 1.Write the equation of the line that passes through (-3, 7) and has a slope of ½. 2. Write the equation of the line that passes through (9, -4) (3, -6) HW#5: Point-slope form of a line: y – y 1 = m( x – x 1 ) and Complete Study Guide!

Study guide corrections: #25. D. -6 #30: B. (7/4, 0), (0, -7/5) #35: Change question: y = 3x + 2

9 th Period, Wed, 1/20/10 SWBAT… write equations using standard and point-slope form Agenda 1.WU (10 min) 2.Notes on point-slope form with 8 examples (30 min) 3.Exit slip (5 min) Warm-Up: Convert to standard form: 1. y = 3x HW#5: Point-slope form of a line: y – y 1 = m( x – x 1 )

STANDARD FORM The STANDARD FORM of an equation of a line is Ax + By = C A ≥ 0 A and B are not both zero A, B, and C are integers (not fractions)

Convert y = 3x + 12 to standard form. Warm Up 1

Convert y = 6776x to standard form. Warm Up 2

Point-Slope Form Ms. Sophia Papaefthimiou Infinity High School

y – y 1 = m(x – x 1 ) m is the slope (x 1, y 1 ) is a point on the line

Write the equation of the line in point-slope form with slope 3 that passes through (1, 5) (x 1, y 1 ) y – y 1 = m(x – x 1 ) EXAMPLE 1

Write the equation of the line in point-slope form with slope ¾ that passes through (-5, 3) y – y 1 = m(x – x 1 ) EXAMPLE 2

Write the equation of the line in slope- intercept form y – y 1 = m(x – x 1 ) EXAMPLE 3

Write the equation of the line, in point-slope form, passing through the points (4, 3) and (6, 8). y – y 1 = m(x – x 1 ) EXAMPLE 5

In point-slope form, write the equation of the line passing through the points (-2, 6) and (3, -1). y – y 1 = m(x – x 1 ) EXAMPLE 6

In point-slope form, write the equation of the line passing through the points (-2, 6) and (3, -1). y – y 1 = m(x – x 1 ) EXAMPLE 6

Graph y – 2 = 2(x – 3) (HW Prob # 8) EXAMPLE 7 x y

Graph y + 5 = 3(x + 2) (HW Prob # 8) EXAMPLE 8 x y

Graph y + 1 = (x + 1) (HW Prob #9) EXAMPLE 9 x y

Why does the point-slope form work? Find the slope between (x 1, y 1 ) and (x, y).