Wed, 1/5 SWBAT… write equations using standard and point-slope form Agenda 1.Quiz (20 min) 2.Review quiz and hw (15 min) 3.Standard form review – 2 examples (10 min) Warm-Up: 1. Place the two problems in the front desk 2. Take out this week’s agenda HW#6: Point-slope form of a line: y – y 1 = m( x – x 1 )

Fri, 1/5 SWBAT… write equations using standard and point-slope form Agenda 1.WU (5 min) 2.Notes on point-slope form with 8 examples (30 min) 3.Work on hw (10 min) Warm-Up: Convert to standard form: 1. y = 3x Set up Cornell Notes: Topic is Point-Slope Form HW#6: 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 to standard form 1. y = 3x

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 slope-intercept form EXAMPLE 2

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 3 (x 1, y 1 )

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 4

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 5

Graph y – 2 = 2(x – 3) (HW Prob # 8) EXAMPLE 6 x y

Graph y + 5 = 3(x + 2) EXAMPLE 7 x y

Graph y + 1 = (x + 1) (HW Prob #9) EXAMPLE 8 x y

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

Mon, 1/10 SWBAT… write equations using slope intercept, standard and point-slope form Agenda 1.Review hw (15 min) 2.Writing equations of lines in slope-intercept, standard form and point slope form (30 min) Warm-Up: 1.Write the hw in your planners for the week 2.Take out hw#6-point-slope form HW#7: All 3 forms

HW#6 Answers 1.y – 2 = -1/2(x – 4) 2.y + 4 = 6(x – 3) 3.y + 7 = -1/4(x + 2) 4.y = x y = 4x y = -3/4x – 13/4 7.y = 7x m = 2, pt (3, 2) 9.m = ½, pt (-1, -1) 10.m = 3/2, pt (2, 2) 11.y + 4 = -3/2(x – 0) 12.y + 3 = 3/2(x + 4) 13.y – 9 = -2/3(x – 0)

HW#6 Answers 14.a.) y – = 39.95(x – 6) b.) y = 39.95x + 25 c.) $25 15.The third one does not belong because it is a different equation than the other three. 16.Neither of them is correct. 17.y + 7 = -11/9(x – 3)