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3 years ago

Find the slope of the line passing through the following points: (1,2) and (3,1)

Mathematics

2 answers:

daser333 [38]3 years ago

4 0

The slope is
2-1
m = rise / run = ------- = -1/2
1-3

SVEN [57.7K]3 years ago

3 0

Hello!

Step-by-step explanation:

$SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}$

$\frac{1-2}{3-1}=\frac{-1}{2}=-\frac{1}{2}$

Slope is -1/2.

Final answer is -1/2.

Hope this helps!

Thanks!

Have a nice day! :)

-Charlie

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Write an equation in slope - intercept form for the line that satisfies each set of conditions

ivanzaharov [21]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

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(1)

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2y = - 3x + 1 ( divide all terms by 2 )

y = - $\frac{3}{2}$ x + $\frac{1}{2}$ ← in slope- intercept form

with slope m = - $\frac{3}{2}$

Parallel lines have equal slopes, thus

y = - $\frac{3}{2}$ x + c ← is the partial equation

To find c substitute (- 6, 15) into the partial equation

15 = 9 + c ⇒ c = 15 - 9 = 6

y = - $\frac{3}{2}$ x + 6 ← equation of line

(2)

Rearrange x + 2y = 8 into slope- intercept form by subtracting x from both sides

2y = - x + 8 ( divide all terms by 2 )

y = - $\frac{1}{2}$ x + 4 ← in slope- intercept form

with slope m = - $\frac{1}{2}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-\frac{1}{2} }$ = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (5, - 2) into the partial equation

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3 years ago

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just olya [345]

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lana66690 [7]

21.4

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Varvara68 [4.7K]

Answer:

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Step-by-step explanation:

find the length of each side:

you're only given h = 9 m

the formula for h is $h=\frac{\sqrt{3} }{2} *a$ , where a is a side length of the hexagon

plug h in:

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