warm upfeb. 24 th 1. find the value of r so that the line that passes through (r, 3) and (5, 9) has...

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Warm Up Feb. 24 th 1. Find the value of r so that the line that passes through (r, 3) and (5, 9) has a slope of m = 2. 2. In 1990, there were 80 people in the Hope Chorus. In 1999, there were 107 people in the chorus. Find the annual rate of change in the number of people in chorus. 3. Write the slope-intercept form of the equation of the line that passes through (0, 4) and (-3, -5)

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Homework Answers 5.3 (cont.)

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Page 1: Warm UpFeb. 24 th 1. Find the value of r so that the line that passes through (r, 3) and (5, 9) has a slope of m = 2. 2. In 1990, there were 80 people

Warm Up Feb. 24th 1. Find the value of r so that the line that passes through (r, 3)

and (5, 9) has a slope of m = 2.

2. In 1990, there were 80 people in the Hope Chorus. In 1999, there were 107 people in the chorus. Find the annual rate of change in the number of people in chorus.

3. Write the slope-intercept form of the equation of the line that passes through (0, 4) and (-3, -5)

Page 2: Warm UpFeb. 24 th 1. Find the value of r so that the line that passes through (r, 3) and (5, 9) has a slope of m = 2. 2. In 1990, there were 80 people

Homework Answers 5.3

Page 3: Warm UpFeb. 24 th 1. Find the value of r so that the line that passes through (r, 3) and (5, 9) has a slope of m = 2. 2. In 1990, there were 80 people

Homework Answers 5.3 (cont.)

Page 4: Warm UpFeb. 24 th 1. Find the value of r so that the line that passes through (r, 3) and (5, 9) has a slope of m = 2. 2. In 1990, there were 80 people

Homework Answers 5.4

Page 5: Warm UpFeb. 24 th 1. Find the value of r so that the line that passes through (r, 3) and (5, 9) has a slope of m = 2. 2. In 1990, there were 80 people

5.4 Writing Equations in Point-Slope FormThree linear equation forms:

1. Slope-intercepty = mx + b

2. StandardAx + By = C

3. Point Slopey – y1 = m(x – x1)

Page 6: Warm UpFeb. 24 th 1. Find the value of r so that the line that passes through (r, 3) and (5, 9) has a slope of m = 2. 2. In 1990, there were 80 people

Point-slope formulay – y1 = m(x – x1)*Just sub in the #’s for x1, y1 and m.

Examples:1. Write the point-slope form of an equation for a line

that passes through (6, 1) and has a slope of .25

Page 7: Warm UpFeb. 24 th 1. Find the value of r so that the line that passes through (r, 3) and (5, 9) has a slope of m = 2. 2. In 1990, there were 80 people

Examples (cont.)Remember: X – (-9) = X + 9

2. Write the point-slope form of an equation for a horizontal line that passes through (4, -1).

m = ?

Page 8: Warm UpFeb. 24 th 1. Find the value of r so that the line that passes through (r, 3) and (5, 9) has a slope of m = 2. 2. In 1990, there were 80 people

Examples (cont.)3. Write an equation in point-slope form of the line

through the points (-3, -2) and (5, 3).

Page 9: Warm UpFeb. 24 th 1. Find the value of r so that the line that passes through (r, 3) and (5, 9) has a slope of m = 2. 2. In 1990, there were 80 people

Point-Slope Slope-InterceptSlope-Intercept:

Example:1. Write the equation

in slope-intercept form.

Get rid ofparentheses

and solve for y!

)8(418 xy

To graph, turn equation into slope intercept form first!!

Page 10: Warm UpFeb. 24 th 1. Find the value of r so that the line that passes through (r, 3) and (5, 9) has a slope of m = 2. 2. In 1990, there were 80 people

Point-Slope StandardStandard Form:

Example:1. Write in standard form.

Get rid of

parentheses and make it look like

standard form

)6(325 xy

Page 11: Warm UpFeb. 24 th 1. Find the value of r so that the line that passes through (r, 3) and (5, 9) has a slope of m = 2. 2. In 1990, there were 80 people

Point-Slope StandardExample (cont.):2. GEOMETRY Use parallelogram ABCD.

A parallelogram has opposite sides parallel.a) Write the point-slope form of the line containing AD.b) Write the standard form of the line containing AD.

Page 12: Warm UpFeb. 24 th 1. Find the value of r so that the line that passes through (r, 3) and (5, 9) has a slope of m = 2. 2. In 1990, there were 80 people

You Try!Try each problem and if you get stuck, look back in

your notes or the examples at the top.Show all your work so you can find your mistake if

it is incorrect.When finished, turn in and start on your

homework.

HomeworkWorkbook 5-4Pg 151 and 153 ALLQUIZ MONDAY!! **progress reports**