All categories

3 years ago

Which of the following is an equation of the line through (2,3) and (-1,-12)

Mathematics

1 answer:

ahrayia [7]3 years ago

6 0

Answer:

y = 5x - 7

Step-by-step explanation:

Using the equation of a line with two points

y_2 - y_1 / x_2 - x_1 = y - y_1 / x - x_1

Giving two points

( -4 , 10)(16 , -2)

x_1 = -4

y_1 = 10

x_2 = 16

y_2 = -2

Using the above formula

y_2 - y_1 / x_2 - x_1 = y - y_1 / x - x_1

-12 - 3 / -1 - 2 = y - 3 / x - 2

-15/-3 = y - 3 /x - 2

Cross multiply

-15(x - 2) = -3(y - 3)

-15x + 30 = -3y + 9

-15x + 30 + 3y - 9 = 0

-15x +30 - 9 + 3y = 0

-15x + 21 + 3y = 0

3y = 15x - 21 ( following y = mx + C

Dividing through by 3 to find y

3y/3 = 15x -21 / 3

y = 15x - 21 / 3

We can still separate

y = 15x / 3 - 21/3

y = 5x - 7

Therefore, the equation of the line is

y = 5x - 7

You might be interested in

The box on the left is 8 inches wide and 8 inches tall what is the surface area of the box

TiliK225 [7]

Answer:

384 inches

Step-by-step explanation:

8 x 8 = 64

one face of the box is 64

6 faces of the box would be 384

6 0

3 years ago

Read 2 more answers

#2 Find the slope given the points (6,-12) and (15,-3)*

castortr0y [4]

Greetings :)

To find slope of two points we will need to use this equation: $\frac{y^2-y^1}{x^2-x^1}$

$x^1$ $x^2$ $y^1$ $y^2$

( 6 , -12 ) ( 15 , -3 )

Now let's replace the equation with the numbers. (it will be a fraction).

$\frac{-3-(-12)}{15-12}$ = $\frac{9}{9}$

The equation equals 9 over 9, which also equals 1.

The slope of the line is 1.

4 0

3 years ago

Find the area of this figure.

kakasveta [241]

Answer:

pretty sure it's 360 :)

Step-by-step explanation:

...

5 0

3 years ago

Read 2 more answers

Paul has $20,000 to invest. His intent is to earn 10.5% interest on his investment. He can invest part of his money at 7% intere

Art [367]

X=7%
y=12%
x+y=20000
0.07x+0.12y=20000*0.19=3800

3 0

2 years ago

Pete dad usually deposits $25 into his bank account every week.for the next weeks he wants to deposit more than the usually $25

Burka [1]

Answer:

The answer is "8(25+x)>500;x>37.50".

Step-by-step explanation:

Please find the complete question in the attached file.

$\to 8(25+x)>500\\\\\to 200 +8x>500\\\\\to 8x> 300\\\\\to x> \frac{300}{8}\\\\\to x> 37.50$

That's why above given choice is correct.

3 0

3 years ago