Mathematics: Write an equation that represents the line. (-3,-6) and (2,-2) use exact numbers

Write an equation that represents the line. (-3,-6)

Ответ:

apalacios3503

10.02.2022

Mathematics

Given:

The line passes through (-3,-6) and (2,-2).

To find:

The equation of line.

Solution:

If a line passes through two points $(x_1,y_1)\text{ and }(x_2,y_2)$ , then the equation of line is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

The line passes through (-3,-6) and (2,-2). So, the equation of line is

$y-(-6)=\dfrac{-2-(-6)}{2-(-3)}(x-(-3))$

$y+6=\dfrac{-2+6}{2+3}(x+3)$

$y+6=\dfrac{4}{5}(x+3)$

$y+6=\dfrac{4}{5}(x)+\dfrac{4}{5}(3)$

Subtract 6 from both sides.

$y=\dfrac{4}{5}(x)+\dfrac{12}{5}-6$

$y=\dfrac{4}{5}(x)+\dfrac{12-30}{5}$

$y=\dfrac{4}{5}(x)+\dfrac{-18}{5}$

$y=\dfrac{4}{5}(x)-\dfrac{18}{5}$

Therefore, the equation of line is $y=\dfrac{4}{5}(x)-\dfrac{18}{5}$ .

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Ответ:

keonburkes9

05.04.2021

Mathematics

sin of x = 5/13 cos of y + 5/13

Step-by-step explanation:

They share the values 5 and 13 even though the side value 5 is adjacent to y and oppostie of x. The hypotenuse value of 13 remains the same in both ratios

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Write an equation that represents the line. (-3,-6) and (2,-2) use exact numbers

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