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3 years ago

Write the equation of a line in slope intercept form that has a slope of 1/5 and contains (-10,6)

Mathematics

1 answer:

VLD [36.1K]3 years ago

5 0

Answer:

y = $\frac{1}{5}$ x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = $\frac{1}{5}$ , hence

y = $\frac{1}{5}$ x + c ← is the partial equation

To find c substitute (- 10, 6) into the partial equation

6 = - 2 + c ⇒ c = 6 + 2 = 8

y = $\frac{1}{5}$ x + 8

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1) write a system on equations with the solution (2, -3). Work the problem out using the substitution method

solmaris [256]

The system of the equations that have the solution of (2, -3) are given below.

3x + 2y = 0 and 3y = 2x - 13

<h3>What is the linear system?</h3>

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Write a system of equations with the solution (2, -3).

From a single point, an infinite number of lines pass through this point.

Let one line is passing through the origin. Then the equation of the line will be

$\rm y = \dfrac{-3}{2} (x)\\\\y = -1.5x$

And the other line is perpendicular to the line which is passing through the origin and a point (2, -3).

$\rm y = \dfrac{2}{3} x + c$

Then this line also passes through a point (2, -3). Then the value of c will be

$\rm -3 = \dfrac{2}{3} \times 2 + c\\\\c \ \ = -13$

Then the equation of the line will be

3y = 2x -13

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ4

8 0

1 year ago

A recipe uses 214 cups of flour for a batch of cookies. Henry makes 10 batches of cookies for a bake sale.

yanalaym [24]

Answer:

Step-by-step explanation:

A recipe uses 214 cups of flour for a batch of cookies. Henry makes 10 batches of cookies for a bake sale.

A model shows a total of c cups divided into 10 sections, each labeled 2 and 1 fourth.

Part A

Which equation models the total number of cups of flour, c, Henry needs?

c+214=10

214×c=10

10+c=214

214×10=c

Part B

How many cups of flour does Henry need?

2014cups

2212cups

2434cups

2512cups

Part C

Estimate how much flour Henry would need to make 15 batches of cookies. Explain.

I would round 214 to 2, so Henry would need about 30 cups of flour.

I would round 214 to 3, so Henry would need about 45 cups of flour.

I would round 214 to 1, so Henry would need about 15 cups of flour.

I would round 214 to 234, so Henry would need about 30 cups of flour.

8 0

3 years ago

Points A(-2, 4), B(1, 3), C(4, -1) and D form a parallelogram. What are the coordinates of D?

Rudik [331]

Let point A(-2,4) = A (X1,Y1)
point B( 1,3 )= B (X2,Y2)
point C(4,-1) = C (X3,Y3)
and point D(?, ?) = D (X4,Y4) We have to find this point

To find X4 we have to use the formula:
X2-X1=X3-X4

Now just plug in the numbers that correspond to the letters provided:
(1)-(-2)=(4)-(X4) ----> we don't know what X4 is yet, so we have to solve for it!
1+2=4-X4
3=4-X4
3-4=-X4
-1=-X4 divide both sides by -1
X4=1

Now we have to find Y4 using this formula:
Y2-Y1=Y3-Y4

Therefore,
(3)-(4)=(-1)-(Y4)
-1=-1-Y4
-1+1=-Y4
0=-Y4
So,
Y4=0

Now we have found the coordinates of the point D, which is (1,0)

Hope this helped!

8 0

2 years ago

Read 2 more answers

Which statement about the equation is true?

zvonat [6]

C because you got to find the like term term

6 0

3 years ago

Read 2 more answers

Determine the slope of each line.

faust18 [17]

(2,-2)(5,7)

7-(-2)= 9
5-2= 3
9/3= 3

slope = 3

(you could also calculate the slope by just counting up how many units it goes up/down when you pick a point from the x-axis and move left/right. basically counting the rise over run)

7 0

3 years ago