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konstantin123 [22]
4 years ago
13

3 questions i need help

Mathematics
1 answer:
Kobotan [32]4 years ago
6 0

Answer:

7 \displaystyle \boxed{5}\:\boxed{-4}

6 \displaystyle -1

5 ○ Perpendicular

Step-by-step explanation:

7 Halfway in between −2 and −6 is −4, and halfway in between 0 and 10 is 5, so you will have this:

\displaystyle (5, -4)

6 Parallel Lines have SIMILAR <em>RATE</em><em> </em><em>OF</em><em> </em><em>CHANGES</em><em> </em>[<em>SLOPES</em>], so <em>line </em><em>r</em><em> </em>also has a slope of −1.

5 Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE <em>RATE OF CHANGES</em> [<em>SLOPES</em>], so −8⁄9 indeed becomes 1⅛ [or 9⁄8], therefore lines <em>r</em> and <em>q</em> are perpendicular.

I am joyous to assist you anytime.

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Option C: y = \frac{1}{2}x+\frac{5}{2} is the right answer

Step-by-step explanation:

Given points are:

(x1,y1) = (-1,2)

(x2,y2) = (3,4)

First of all, the slope has to be found

m =\frac{y_2-y_1}{x_2-x_1}\\=\frac{4-2}{3+1}\\= \frac{2}{4}\\=\frac{1}{2}

The slope-intercept form of line is:

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y = \frac{1}{2}x+\frac{5}{2}

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Option C: y = \frac{1}{2}x+\frac{5}{2} is the right answer

Keywords: Equation of line, slope

Learn more about equation of line at:

  • brainly.com/question/2116906
  • brainly.com/question/2131336

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