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3 years ago

What is the equation of the line that passes through the point (-7, 2) and has a slope of -1?

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

3 0

Answer: y= -1x - 5

Step-by-step explanation:

The equation has to be in slope-intercept form which uses the formula

y=mx+b where m is the slope and b is the y-intercept.

So we given the slope and an x and y coordinate so we will plot those numbers into the formula and solve for the y intercept to write the equation.

the x coordinate is -7 and the y coordinate is 2

2 = -1(-7) + b

2 = 7 + b

-7 -7

b = -5 the y intercept is -5

Now the equation will be y= -1x - 5

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The art teacher has 30 boxes of crayons with 16 cans in each box she gives the students 10 of the boxes to use explain how to fi

Mamont248 [21]

I'm going to assume you meant crayon instead of can:

First step is to find how many boxes she/he has left.

30 - 10 = 20

So the teacher has 20 boxes left;

Now, knowing that each box has 16 crayons, then we simply multiply the 20 by 16 to find the total number of crayons left over:

20 x 16 = 320

So the art teacher has 320 crayons left over.

Hope this helps!

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2 years ago

How do I do this problem with solution by elimination? 2x+y=3 -2x+5y=-9

ddd [48]

Answer:

(2, -1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

2x + y = 3

-2x + 5y = -9

Step 2: Solve for y

Elimination

Combine equations: 6y = -6
Divide 6 on both sides: y = -1

Step 3: Solve for x

Define equation: 2x + y = 3
Substitute in y: 2x - 1 = 3
Isolate y term: 2x = 4
Isolate y: x = 2

7 0

3 years ago

Michael is using a number line to evaluate the expression –8 – 3.

djverab [1.8K]

Answer:

Micheal could rewrite the equation as negative 8 + negative 3 and move 3 spaces to the left.

Step-by-step explanation:

-8 - 3 = -8 + (-3)

5 0

3 years ago

Read 2 more answers

For the situation, draw a diagram for the relationship of the quantities to help you answer the question. Then write a multiplic

Aloiza [94]

Answer: 6 batches

Step-by-step explanation:

From the question, we are informed that one batch of cookies requires 2⁄3 cup of flour.

Therefore, the number of batches that can be made with 4 cups of flour will be:

= 4 / 2/3

= 4 × 3/2

= 12/2

= 6 batches

7 0

2 years ago

The the length of a rectangle is 9 centimeters less than four timesfour times its width. its area is 28 square centimeters. find

wel

Let w = width

then

5w-3 = length

w(5w-3) = 14

5w^2-3w = 14

5w^2-3w-14=0

(5w+7)(w-2) = 0

w = {-7/5, 2}

throw out the negative solution leaving

w = 2 centimeters

length:

5w-3 =5(2)-3 =10-3 = 7 centimeters

4 0

3 years ago