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3 years ago

Find the slope of the line graphed below.

Mathematics

1 answer:

sesenic [268]3 years ago

4 0

Answer:

$\displaystyle m=\frac{1}{2}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Reading a Cartesian plane
Coordinates (x, y)
Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, 1)

Point (2, 2)

Step 2: Identify

x₁ = 0, y₁ = 1

x₂ = 2, y₂ = 2

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points/variables [Slope Formula]: $\displaystyle m=\frac{2-1}{2-0}$
[Slope] [Fraction] Subtract: $\displaystyle m=\frac{1}{2}$

You might be interested in

Factor 48m + 42n to identify the equivalent expressions

Ksenya-84 [330]

The equivalent expressions are 2(24m + 21n) and 3(16m + 14n) and 6(8m + 7n)

Solution:

Given that, we have to factor the given expression

Given expression is:

48m + 42n

The equivalent expressions can be found by factoring out the common factors of 48 and 42

Let us first find the factors of 48 and 42

The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Thus the common factors are: 1, 2, 3, 6

Let us factor out 2 from given expression

$48m + 42n = 2(24m+21n)$

Now factor out 3 from given expression

$48m + 42n = 3(16m + 14n)$

Now factor out 6 from given expression

$48m+42n=6(8m + 7n)$

Thus the equivalent expressions are 2(24m + 21n) and 3(16m + 14n) and 6(8m + 7n)

7 0

3 years ago

Restaurant sells 10 tacos for seven dollars or five of the same kind of taco for $3.20 which is the better deal explain how you

nadezda [96]

Answer:

The first deal:10 tacos for $7

Step-by-step explanation:

5 times 3.20 = 16$ and 10 tacos=$7

5 0

3 years ago

For the following system, if you isolated x in the first equation to use the substitution method, what expression would you subs

alekssr [168]

Answer:

$x=2y+6$

Step-by-step explanation:

So we have the system:

$-x+2y=-6\\3x+y=8$

If we isolate the x-variable in the first equation:

$-x+2y=-6$

Subtract 2y from both sides:

$-x=-6-2y$

Divide both sides by -1:

$x=2y+6$

Therefore, we would substitute the above into the second equation:

$3x+y=8\\3(2y+6)+y=8$

The answer is 2y+6

Further notes:

To solve for the system, distribute:

$6y+18+y=8$

Simplify:

$7y+18=8$

Subtract:

$7y=-10$

Divide:

$y=-10/7\approx-1.4286$

Now, substitute this value back into the isolated equation:

$x=2(-10/7)+6\\x=-20/7+42/7\\x=22/7\approx3.1429$

3 0

3 years ago

Read 2 more answers

What can be used to determine the length of segment AB?

Vikki [24]

It depends on what you mean by "what can be used", you can use a protractor or ruler since it's a line segment. OR you can use the formula a^ + b^ = c^ to find out all the measurements.......

If you still can't find it, then, you can try to find the other measurements around that specific line segments. And it DEPENDS on what you choose to find the length of this segment.

( There's no picture on my screen, so I'm guessing that you didn't put any.. )

Well, I hope this can help you :3

STAY SAFE!! :)

6 0

3 years ago

I do not understand this im lost

mote1985 [20]

In such type of questions, all that you are supposed to do is, use basic mathematics to eliminate any one of the given two variables. Check out the equations if in case you can multiply any of the given ones with a -1 and add the two equations,eliminating one of the variables.

7 0

3 years ago

Read 2 more answers