All categories

2 years ago

Find an equation of the line containing the given points.(3,-7) (0,2)

Mathematics

1 answer:

hammer [34]2 years ago

7 0

Answer:

y = -3x +2

Step-by-step explanation:

To find slope of the equation:

(y^2-y^1) / (x^2-x^1)

= (2-(-7)) / (0-3)

= 9 / -3

= -3

Use Point- Slope form to find equation

y - y1 = m (x - x1)

y - 2 = -3 (x - 0)

y - 2 = -3x + 0

y = -3x +2

You might be interested in

If the second number is subtracted from the sum of the first number and 2 times the third number, the result is 1. The thrid num

weeeeeb [17]

Answer:

Step-by-step explanation:

$x,\ y,\ z-\text{three numbers}\\\\\left\{\begin{array}{ccc}(x+2z)-y=1&(1)\\z+2x=3&(2)\\x+3y+z=18&(3)\end{array}\right\\\\(2)\\z+2x=3\qquad\text{subtract}\ 2x\ \text{from both sides}\\z=3-2x\qquad(*)\\\\\text{Substitute}\ (*)\ \text{to (1) and (3)}\\\\\left\{\begin{array}{ccc}x+2(3-2x)-y=1&\text{use the distributive property}\\x+3y+(3-2x)=18\end{array}\right$

$\left\{\begin{array}{ccc}x+(2)(3)+(2)(-2x)-y=1\\x+3y+3-2x=18&\text{subtract 3 from both sides}\end{array}\right\\\left\{\begin{array}{ccc}x+6-4x-y=1&\text{subtract 6 from both sides}\\(x-2x)+3y=15\end{array}\right\\\left\{\begin{array}{ccc}(x-4x)-y=-5\\-x+3y=15\end{array}\right\\\left\{\begin{array}{ccc}-3x-y=-5&\text{multiply both sides by 3}\\-x+3y=15\end{array}\right$

$\underline{+\left\{\begin{array}{ccc}-9x-3y=-15\\-x+3y=15\end{array}\right}\qquad\text{add all sides of the equations}\\.\qquad-10x=0\qquad\text{divide both sides by (-10)}\\.\qquad\boxed{x=0}\\\\\text{Put it to the second equation:}\\-0+3y=15\\3y=15\qquad\text{divide both sides by 3}\\\boxed{y=5}\\\\\text{Put the value of}\ x\ \text{to}\ (*):\\\\z=3-2(0)\\\boxed{z=3}$

7 0

2 years ago

F(5)= 12 for a geometric sequence that is defined recursively by the formula f(n) = 0.3• f(n-1), where n is an integer and n>

aksik [14]

Answer:

1.8

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

-1.1x + 8.1x + 38 = -32

Setler79 [48]

X = -10

Explanation:

-1.1x + 8.1x + 38 = -32

Combine like terms : -1.1x + 8.1x

7x + 38 = -32

Subtract 38

7x = -70

Divide by 7

7x = -70/7

Answer:

x = -10

8 0

2 years ago

Read 2 more answers

the sale price of an iphone is 179.00. if the percent discount was 20% what was the original price of the iphone?

Tju [1.3M]

100 - 20 = 80
179.00 = 80%
179.00 / 80 = 2.2375 = 1%
1% x 100 = 100%
So, 2.2375 x 100 = 100%
Therefore the original price was 223.75

3 0

3 years ago

Can someone teach me how to do this?

vladimir1956 [14]

the formula is a_{1}+(n-1) d

so a_{1} would be the first number in the sequence, which would be 13 in problem 9.

13+(n-1)d

then you put in n, which is 10 (it represents which number in the sequence you're looking for, for example 16 is the second number in the sequence)

13+(10-1)d

then you find the difference between each number, represented by d which in this case is 3

13+(10-1)3

13+(9)3

13+27=

5 0

2 years ago