All categories

4 years ago

Which of the following is a point slope equation of a line that passed through the points (10,5) and (4-7)

Mathematics

1 answer:

levacccp [35]4 years ago

5 0

Answer:

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - point

The formula of a slope:

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

We have the points (10, 5) and (4, -7). Substitute:

$m=\dfrac{-7-5}{4-10}=\dfrac{-12}{-6}=2$

$y-5=2(x-10)$

You might be interested in

Compare the decimals 18.10 and 18.1

Arte-miy333 [17]

Both are equal since 18.1 we can add to the right zero
then 18.10=18.1

4 0

3 years ago

Read 2 more answers

What is 11.5 times 30

Lelechka [254]

Answer:

345

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A recipe used 2/3 cup of sugar for every 2 teaspoons of butter. How much sugar was used per teaspoon of butter

myrzilka [38]

Answer:

2/3cups 2 teaspoons

(2/3 )cups/2teaspoons =1/3 cups per teaspoon

Answer= 1/3 cups per teaspoon

8 0

3 years ago

Read 2 more answers

The quotient of nine times a number and seven ?

IRISSAK [1]

9/7n is the answer i am pretty sure

7 0

3 years ago

Solve equation, check for extraneous solutions

fiasKO [112]

Start with

$1=\dfrac{1}{n^2}+\dfrac{n^2-4n-5}{3n^2}$

We observe that both fractions are not defined if $n=0$ . So, we will assume $n \neq 0$ .

We multiply both numerator and denominator of the first fraction by 3 and we sum the two fractions:

$1=\dfrac{3}{3n^2}+\dfrac{n^2-4n-5}{3n^2} = \dfrac{n^2-4n-2}{3n^2}$

We multiply both sides by $3n^2$ :

$n^2-4n-2=3n^2$

We move everything to one side and solve the quadratic equation:

$2n^2+4n+2=0 \iff 2(n^2+2n+1)=0 \iff 2(n+1)^2=0 \iff n+1=0 \iff n=-1$

We check the solution:

$1=\dfrac{1}{1}+\dfrac{1+4-5}{3} \iff 1 = 1+0$

which is true

8 0

3 years ago