All categories

3 years ago

A line includes the points (2, 4) and (3, 10). What is its equation in slope-intercept form?

Mathematics

2 answers:

KATRIN_1 [288]3 years ago

3 0

Answer:

Step-by-step explanation:

formula is y2-y1 / x2-x1

skelet666 [1.2K]3 years ago

3 0

Step-by-step explanation:

first off find the gradient dy/dx

-6÷-1=6

y=6x+c

now substitute (2,4)

4=12+c

c=-8

y=6x-8

You might be interested in

Solve the given initial-value problem. the de is of the form dy dx = f(ax + by + c), which is given in (5) of section 2.5. dy dx

shutvik [7]

$\dfrac{\mathrm dy}{\mathrm dx}=\cos(x+y)$

Let $v=x+y$ , so that $\dfrac{\mathrm dv}{\mathrm dx}-1=\dfrac{\mathrm dy}{\mathrm dx}$ :

$\dfrac{\mathrm dv}{\mathrm dx}=\cos v+1$

Now the ODE is separable, and we have

$\dfrac{\mathrm dv}{1+\cos v}=\mathrm dx$

Integrating both sides gives

$\displaystyle\int\frac{\mathrm dv}{1+\cos v}=\int\mathrm dx$

For the integral on the left, rewrite the integrand as

$\dfrac1{1+\cos v}\cdot\dfrac{1-\cos v}{1-\cos v}=\dfrac{1-\cos v}{1-\cos^2v}=\csc^2v-\csc v\cot v$

Then

$\displaystyle\int\frac{\mathrm dv}{1+\cos v}=-\cot v+\csc v+C$

and so

$\csc v-\cot v=x+C$

$\csc(x+y)-\cot(x+y)=x+C$

Given that $y(0)=\dfrac\pi2$ , we find

$\csc\left(0+\dfrac\pi2\right)-\cot\left(0+\dfrac\pi2\right)=0+C\implies C=1$

so that the particular solution to this IVP is

$\csc(x+y)-\cot(x+y)=x+1$

5 0

2 years ago

Use the rule 2 + 3 to find the missing number on the table.

vfiekz [6]

Answer:

Step-by-step explanation:

11 + 3 = 14

Hope it helps!

Thanks!

7 0

3 years ago

These two are messing with me, can someone help?

soldier1979 [14.2K]

Answer:

i dont understand, can you elaborate

Step-by-step explanation:

7 0

2 years ago

David bought a poster for an art project. The poster is 2.7 ft wide and 3.9 ft tall. What is the area of the poster? Enter your

algol13

10.53 ft is the Area. :D:D

7 0

2 years ago

I’m helpless please help me

nignag [31]

Answer: I think the last one sorry of I am wrong

Step-by-step explanation:

7 0

2 years ago