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3 years ago

What is the equation of the line ?

Mathematics

1 answer:

Ronch [10]3 years ago

7 0

Look at the picture.

The point-slope form:

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

We have the points (-3, -3) and (2, 0). Substitute:

$m=\dfrac{0-(-3)}{2-(-3)}=\dfrac{3}{5}\\\\y-0=\dfrac{3}{5}(x-2)\qquad|\text{use distributive property}\\\\y=\dfrac{3}{5}x-\dfrac{6}{5}\qquad|\cdot5\\\\5y=3x-6\qquad|-5y\\\\0=3x-5y-6\qquad|+6\\\\3x-5y=6$

Answer:

point-slope form: $y=\dfrac{3}{5}(x-2)$

slope-intercept form: $y=\dfrac{3}{5}x-\dfrac{6}{5}$

standard form: $3x-5y=6$

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3 years ago

Which of the following points does Not lie on the graph of y =3x

nalin [4]

Answer:

(2,6)

Step-by-step explanation:

The options of the questions are

(0,1) (1,3) (2,6) (3,27)

and the given function is $y=3^x$

we know that

If a ordered pair lie on the graph of the given equation, then the ordered pair must satisfy the given equation

Verify each ordered pair

case 1) (0,1)

substitute the value of x and the value of y in the linear equation and then compare the results

$1=3^0$

$1=1$ ----> is true

The ordered pair lie on the graph of the given equation

case 2) (1,3)

substitute the value of x and the value of y in the linear equation and then compare the results

$3=3^1$

$3=3$ ----> is true

The ordered pair lie on the graph of the given equation

case 3) (2,6)

substitute the value of x and the value of y in the linear equation and then compare the results

$6=3^2$

$6=9$ ----> is not true

The ordered pair not lie on the graph of the given equation

case 4) (3,27)

substitute the value of x and the value of y in the linear equation and then compare the results

$27=3^3$

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3 years ago

Pweasee help..❤!!!!!!!!!!

Y_Kistochka [10]

Answer: division property of equality

Step-by-step explanation:

8x = 80

You divide the number with the letter you are trying to find (x) on both sides, so 8 divided by 80, you get 10.

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3 years ago

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3 years ago

In Candyland, distance is measured in "lollygam" and "gumbo." Suppose there are 8.5 lollygam in a gumbo. Determine the number of

Alik [6]

Answer:

1.5225 gumbo squared

Step-by-step explanation:

First we know that 1 gumbo is equal to 8.5 lollygams.

To know the number of gumbo squared in 110 lollygam squared, we need to know the relation between 1 gumbo squared and 1 lollygam squared, and we do that making the square of our relation between gumbo and lollygams:

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3 years ago