All categories

3 years ago

Find the equation is standard form, of the line passing through he points (2,-3) and (4,2)

Mathematics

1 answer:

Simora [160]3 years ago

5 0

The point slope formula:

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

$(2,\ -3)\to x_1=2,\ y_1=-3\\(4,\ 2)\to x_2=4,\ y_2=2$

Substitute:

$m=\dfrac{2-(-3)}{4-2}=\dfrac{5}{2}=2.5\\\\y-(-3)=2.5(x-2)\\\\y+3=2.5x-5\ \ \ \ |+5\\\\y+8=2.5x\ \ \ \ \ \ |-y\\\\2.5x-y=8\ \ \ \ \ |\cdot2\\\\\boxed{5x-2y=16}$

You might be interested in

Learning Task 3: Solve the given problems. Write your answers in your answer sheet.

KonstantinChe [14]

Answer:

Team Nara collected more water

1.402 > 1.045

so team nara wins

3 0

3 years ago

PLEASE HELP ME ASAP ILL MARK BRIANLIEST!!!!!!!!! ANSWER THE QUESTIONS AND DO THE STEPS TOO PLEASEE

Anon25 [30]

Answer:

1). t ≥ - $\frac{3}{2}$

2). k ≥ $\frac{16}{3}$

3). y < - $\frac{1}{2}$

4). b > $\frac{250}{9}$

5). w ≤ 0

Step-by-step explanation:

1). $14(\frac{1}{2}-t)\leq 28$

$\frac{14}{14}(\frac{1}{2}-t)\leq \frac{28}{14}$

$\frac{1}{2}-t\leq 2$

$-t\leq 2-\frac{1}{2}$

$-t\leq \frac{3}{2}$

t ≥ - $\frac{3}{2}$

2). 15k + 11 ≤ 18k - 5

15k - 18k ≤ -5 - 11

-3k ≤ - 16

3k ≥ 16

k ≥ $\frac{16}{3}$

3). 44y > 11 + 88y - 22y

44y > 11 + 66y

44y - 66y > 11

-22y > 11

22y < -11

$\frac{22y}{22}$

y < $-\frac{1}{2}$

4). $\frac{7}{9}(b - 27) > \frac{49}{81}$

$\frac{7}{9}(b - 27)\times \frac{9}{7} > \frac{49}{81}\times \frac{9}{7}$

(b - 27) > $\frac{7}{9}$

b > $\frac{7}{9}+27$

b > $\frac{250}{9}$

5). 11w - 8w ≥ 14w

3w - 14w ≥ 0

-11w ≥ 0

w ≤ 0

7 0

3 years ago

What is the radius of the following circle?

lara [203]

Answer:

The radius is: $2\sqrt{3}$

Step-by-step explanation:

The equation of a circle in center-radius form is:

$(x - h)^2 + (y - k)^2 = r^2$

Where the center is at the point (h, k) and the radius is "r".

So, given the equation of the circle:

$x^2+y^2=12$

You can identify that:

$r^2=12$

Then, solving for "r", you get that the radius of this circle is:

$r=\sqrt{12}\\\\r=2\sqrt{3}$

7 0

3 years ago

Read 2 more answers

Answers for both boxes please for 25 points!

MrRa [10]

Answer:

Step-by-step explanation:

you just need to add both equations

you will get 3y=12+6=18

3y=18

y=6

now replace y=6

3x+12=6

3x=6-12

3x=-6

x=-2

(-2,6)

5 0

3 years ago

Read 2 more answers

What is 8-2(2x +1) +5x PLS HELP ME

valkas [14]

Answer:

6+x

Step-by-step explanation:

I used photo math have a great thanksgiving

7 0

3 years ago