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3 years ago

What is the equation in standard form of the line which passes through (-2, 6) and has a slope of -1?

Mathematics

1 answer:

jekas [21]3 years ago

4 0

Answer:

x + y = 4

Step-by-step explanation:

To write the equation of the line use the point slope form. Then convert to the standard from. Begin by substituting m = -1 and (-2,6).

$y - y_1 = m(x-x_1)\\y - 6 = -1(x --2)\\y - 6 = -1(x+2)\\y - 6 = -x -2\\x + y - 6 = -2\\x + y = 4$

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Sum to n terms the series 7 +77 +777

julia-pushkina [17]

Answer:

Step-by-step explanation:

=7 (1+11+111+1111......n)

=7/9 (9+99+999+9999....n)

=7/9 ((10-1)+(10^2-1)+(10^3-1)+....n)

=7/9 ((10+10^2+10^3...n)-(1+1+1+1.....n))

=7/9 ((10 (10^n-1)/(10-1))-n)

4 0

3 years ago

Which could be the first step in solving this system of equations by substitution?

Ainat [17]

Answer:

The first step is to replace the y in y-x=15 with 7x (we can do this because the first equation tells us that they're equal)

solve and get

(2.5,17.5)

or x= 2.5 y=17.5

Step-by-step explanation:

The first step is to recognize that y=7x which means that we can just replace the y in the second equation with 7x

7x-x=15

6x=15

x=2.5

Then we can solve for y

y=7(2.5)

y=17.5

3 0

2 years ago

Kevin is 333 times as old as Daniel. 444 years ago, Kevin was 555 times as old as Daniel. How old is Kevin now?

My name is Ann [436]

Let D be Daniel's present age, then we can represent Kevin's present age as 3D because Kevin is 3 times as old as Daniel.

We can write an expression for Daniel's age 4 years ago as D-4 and Kevin's age 4 years ago as 3D-4.

We are told that 4 years ago Kevin was 5 times as old as Daniel. We can write this information as:

$3D-4=5\cdot(D-4)$

Now let us solve our equation to find Daniel's present age.

$3D-4=5D-20$

$-4+20=5D-3D$

$16=2D$

$D=\frac{16}{2}=8$

Daniel's present age is 8 years. Now we will multiply 8 by 3 to get Kevin's present age as Kevin is 3 times old as Daniel.

$\text{Kevin's present age}=8\cdot3=24$

Therefore, Kevin is 24 years old now.

8 0

2 years ago

Read 2 more answers

a test has 40 questions. denise finished 2/5 of the questions in the first 10 minutes and 1/2 of the remaining questions in the

timofeeve [1]

That would be 28 questions. Hope I helped!

3 0

2 years ago

What is the equation for the line that passes through (3, 2) and has a slope<br> equal to 1/3

lana66690 [7]

Answer:

y=1/3x+1

Step-by-step explanation:

6 0

2 years ago