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3 years ago

Find the slope(-1,-1),(2,-2)

Mathematics

1 answer:

Natali [406]3 years ago

5 0

Answer:

$\huge\boxed{slope=-\dfrac{1}{3}}$

Step-by-step explanation:

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Substitute the coordinates of the given points (-1, -1) and (2, -2):

$m=\dfrac{-2-(-1)}{2-(-1)}=\dfrac{-2+1}{2+1}=\dfrac{-1}{3}=-\dfrac{1}{3}$

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Write an equation of the line in slope intercept form that pass through the two

Ber [7]

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ -2}}\quad ,&{{ 15}})\quad 
% (c,d)
&({{ 9}}\quad ,&{{ -18}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-18-15}{9-(-2)}\implies \cfrac{-18-15}{9+2}
\\\\\\
\cfrac{-33}{11}\implies -3$

$\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-15=-3[x-(-2)]
\\\\\\
y-15=-3(x+2)\implies y-15=-3x-6\implies y=-3x+9$

8 0

3 years ago

For the last showing of a movie, a theater sold full-price and discount tickets,the theater sold 130 full-price ticket for a tot

sveta [45]

Answer:

the cost of 1 full price ticket is $9.5

Step-by-step explanation:

For the last showing of a movie, a theater sold full-price and discount tickets,the theater sold 130 full-price ticket for a total of $1235 the total sales both types of tickets were $2395

Let x be the number of full price tickets and y be the number of discount tickets

the theater sold 130 full-price ticket for a total of $1235 the total sales

130 full price tickets sold for $1235

the cost of 1 full price ticket is

$\frac{1235}{130}=9.5$

the cost of 1 full price ticket is $9.5

4 0

3 years ago

The product of a number and -3, increased by 8, is 20

natita [175]

answer:

-4

Step-by-step explanation:

-3x+8= 20

-8 -8

-3x = 12

÷-3. = ÷-3

x = -4

3 0

3 years ago

Solve the system of equation

kherson [118]

Answer:

The answer to your question is:

x = -10; y = 8

Step-by-step explanation:

Solve equations by elimination method

2x + 3y = 4 (1)

x + 2y = 6 (2)

Multiply 2 by -2

2x + 3y = 4

-2x - 4y = -12

-y = -8

y = 8

Substitute y in (2)

x + 2(8) = 6

x = 6 - 16

x = -10

8 0

3 years ago

What is the result when we simplify the expression ( 1 + 1/ x ) ( 1 − 2/ x + 1 ) ( 1 + 2/ x − 1 )

BaLLatris [955]

Answer:

$\frac{4(x + 1)(x - 1)}{ {x}^{3} }$

Step-by-step explanation:

I have a app called photomath, I really hope this works.

5 0

3 years ago