Mathematics, 14.05.2020 09:57 xfuartado

Write in point slope form an equation of the line through each pair of points:
1.) (-2, 3) and (2, 9)
2.) (0, 7) and (3, 5)
3.) (-2, -3) and (2, -1)
4.) (-5, -2) and (-3, 8)
5.) (-12, 20) and (-21, 29)
6.) (11, 8) and (-2, -3)

Answers: 2

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Answers

Answer from: AnastasiaJauregui

Step-by-step explanation:

1.) (-2, 3) and (2, 9)

let (-2, 3) be (x1,y1) and (2, 9) be (x2,y2)

slope (m)=y2-y1

x2-x1

=9-3

2-(-2)

=9-3

2+2

2.) (0, 7) and (3, 5)

let (0,7) be (x1,y1) and (3,5) be (x2,y2)

slope (m)=y2-y1

x2-x1

=5-7

3-0

=-2

3.) (-2, -3) and (2, -1)

let (-2, -3) be (x1,y1) and (2, -1) be (x2,y2)

slope (m)=y2-y1

x2-x1

=-1-(-3)

2-(-3)

=1+3

2+3

4.) (-5, -2) and (-3, 8)

let (-5,-2) be (x1,y1) and (-3,8) be (x2,y2)

slope (m)=y2-y1

x2-x1

=8-(-2)

-3-(-5)

=8+2

-3+5

=10

5.) (-12, 20) and (-21, 29)

let (-12,20) be (x1,y1) and (-21,29) be (x2,y2)

slope (m)=y2-y1

x2-x1

=29-20

-21-(-12)

=29-20

-21+12

-9

=-1

6.) (11, 8) and (-2, -3)

let (11,8) be (x1,y1) and (-2,-3) be (x2,y2)

slope (m)=y2-y1

x2-x1

=-3-11

-2-8

=-8

-10

-5

Answer from: Quest

55% are girls and 45% are boys : ) hope this

step-by-step explanation:

Answer from: Quest

x= 1

step-by-step explanation: convert 5\frac{11}{12}5

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{5\times 12+11}{12}3.25+0.5x+1

5×12+11

2 simplify 5\times 125×12 to 6060

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{60+11}{12}3.25+0.5x+1

60+11

3 simplify 60+1160+11 to 7171

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{71}{12}3.25+0.5x+1

4 simplify \frac{5}{6}x

x to \frac{5x}{6}

3.25+0.5x+1\frac{1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+1

5 convert 1\frac{1}{3}1

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+\frac{1\times 3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

1×3+1

6 simplify 1\times 31×3 to 33

3.25+0.5x+\frac{3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

3+1

7 simplify 3+13+1 to 44

3.25+0.5x+\frac{4}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

8 simplify 3.25+0.5x+\frac{4}{3}+\frac{5x}{6}3.25+0.5x+

to \frac{13.75}{3}+\frac{4x}{3}

13.75

\frac{13.75}{3}+\frac{4x}{3}=\frac{71}{12}

13.75

9 simplify \frac{13.75}{3}

13.75

to 4.5833334.583333

4.583333+\frac{4x}{3}=\frac{71}{12}4.583333+

10 subtract 4.5833334.583333 from both sides

\frac{4x}{3}=\frac{71}{12}-4.583333

−4.583333

11 simplify \frac{71}{12}-4.583333

−4.583333 to \frac{4}{3}

\frac{4x}{3}=\frac{4}{3}

12 multiply both sides by 33

4x=\frac{4}{3}\times 34x=

×3

13 simplify \frac{4}{3}\times 3

×3 to \frac{12}{3}

4x=\frac{12}{3}4x=

14 simplify \frac{12}{3}

to 44

4x=44x=4

15 divide both sides by 44

x=1

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Write in point slope form an equation of the line through each pair of points:
1.) (-2, 3) and...

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