5-1 thru 5.3 review: Students will be able to write an equation of a line in slope intercept form. ANSWER 1.(1, 4), (6, –1)Y = -x + 5 2.(-1, -2), (2, 7)

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5-1 thru 5.3 review: Students will be able to write an equation of a line in slope intercept form. ANSWER 1.(1, 4), (6, –1)Y = -x (-1, -2), (2, 7) Write an equation in slope intercept form of the line that passes through the given points. Challenge You have a job that pays by the hour. On Monday, you worked 5 hours and earned $30. On Tuesday, you worked 3 hours and earned $18. 1.Let x represent the number of hours worked and let y represent the amount earned. Write two ordered pairs. 2.Plot the two points given by the ordered pairs. Draw a line through the points. 3.Find the slope and the y-intercept of the line. 4.Write the equation of this line. Y = 3x + 1

5-1 thru 5.3 review: Students will be able to write an equation of a line in slope intercept form.

Challenge Answers You have a job that pays by the hour. On Monday, you worked 5 hours and earned $30. On Tuesday, you worked 3 hours and earned $18. 1.Let x represent the number of hours worked and let y represent the amount earned. Write two ordered pairs. (5, 30) (3, 18) 2.Plot the two points given by the ordered pairs. Draw a line through the points. 3.Find the slope and the y-intercept of the line / 5-3 = 12/2 = 6 y-int= 0 2.Write the equation of this line. Y = 6x + 0, y = 6x

Students will be able to write an equation of a line in slope intercept form. Quiz on 5.1 – 5.3 Thursday 5.4 review on Friday 5.5 on Monday

5-1 thru 5.3 review: Students will be able to write an equation of a line in slope intercept form.

 Group A  Work with me to review 5.1 – 5.3  Group B  Textbook: Page 289 – 290 # 40, 46,

5-1 thru 5.3 review: Students will be able to write an equation of a line in slope intercept form.  y = 3x + 5  3 = 2x + b  y = ½ x  y = 8x + 8  y = 9 (3) + 9  4 = 5m + b  y = 5x  y = 3.5x + 89

5-1 thru 5.3 review: Students will be able to write an equation of a line in slope intercept form.  Goal: Write the equation in the form: y = mx + b  To do this, you need to find the m and the b m = slope b = y-intercept The y and x should stay as variables.

5-1 thru 5.3 review: Students will be able to write an equation of a line in slope intercept form.  Parallel lines have the same slope. Example y = ½ x + 3 y = ½ x + 10  Perpendicular lines: Use the negative reciprocal. y = 3/5 x + 10 y = -5/3 x + 15

5-1 thru 5.3 review: Students will be able to write an equation of a line in slope intercept form. SOLUTION Write an equation of a parallel line Write an equation of the line that passes through (–3, –5) and is parallel to the line y = 3x – 1. STEP 1 Identify the slope. The graph of the given equation has a slope of 3. So, the parallel line through (–3, –5) has a slope of 3. STEP 2 Find the y- intercept. Use the slope and the given point.

5-1 thru 5.3 review: Students will be able to write an equation of a line in slope intercept form. y = mx + by = mx + b –5 = 3(–3) + b 4 = b Write slope-intercept form. Substitute 3 for m,  3 for x, and  5 for y. Solve for b. STEP 3 Write an equation. Use y = mx + b. y = 3x + 4 Substitute 3 for m and 4 for b.

5-1 thru 5.3 review: Students will be able to write an equation of a line in slope intercept form. 1. Write an equation of the line that passes through (–2, 11 ) and is parallel to the line y = –x + 5. y = –x + 9 ANSWER

5-1 thru 5.3 review: Students will be able to write an equation of a line in slope intercept form. SOLUTION Write an equation of the line that passes through (4, –5) and is perpendicular to the line y = 2x + 3. STEP 1 Identify the slope. The graph of the given equation has a slope of 2. Because the slopes of perpendicular lines are negative reciprocals, the slope of the perpendicular line through (4, –5) is. 1 2 –

5-1 thru 5.3 review: Students will be able to write an equation of a line in slope intercept form. STEP 2 Find the y- intercept. Use the slope and the given point. Write slope-intercept form. –5 = – (4) + b 1 2 Substitute – for m, 4 for x, and – 5 for y. 1 2 y =y = mx + bmx + b –3 =b Solve for b. STEP 3 Write an equation. y = mx + b Write slope-intercept form. y = – x – Substitute – for m and –3 for b. 1 2

5-1 thru 5.3 review: Students will be able to write an equation of a line in slope intercept form.  Page 291 Quiz 1, 1-13