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3 years ago

Find the slope of the line that passes through the points (-4,2) and (6,6)

Mathematics

1 answer:

aev [14]3 years ago

6 0

Answer:

D. 2/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

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

Step-by-step explanation:

Step 1: Define

Identify

Point (-4, 2)

Point (6, 6)

Step 2: Find slope m

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

Substitute in points [Slope Formula]: $\displaystyle m = \frac{6-2}{6--4}$
[Fraction] Subtract: $\displaystyle m = \frac{4}{10}$
[Fraction] Simplify: $\displaystyle m = \frac{2}{5}$

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Write an equation in point-slope form of the line that passes through the point (9, 0) and has a slope of m=−3

Softa [21]

Answer:

y=-3(x-9)

Step-by-step explanation:

Point slope form is y-y1=m(x-x1)

x1=9

y1=0

m=-3

plug it all in!

y-0=-3(x-9)

y=-3(x-9)

Hope this helps!

7 0

3 years ago

A total of 800 pre-sale tickets and tickets at the gate were sold to football city championship game. If the number of tickets s

Nitella [24]

The number of presale tickets sold is 271

Solution:

Let "p" be the number of presale tickets sold

Let "g" be the number of tickets sold at gate

Given that, total of 800 Pre-sale tickets and tickets at the gate were sold

Therefore,

Presale tickets + tickets sold at gate = 800

p + g = 800 ------ eqn 1

Given that, number of tickets sold at the gate was thirteen less than twice the number of pre-sale tickets

Therefore,

Number of tickets sold at gate = twice the number of pre-sale tickets - 13

g = 2p - 13 ------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 2 in eqn 1

p + 2p - 13 = 800

3p -13 = 800

3p = 800 + 13

3p = 813

p = 271

Thus 271 presale tickets were sold

4 0

3 years ago

what is the height of a rectangular prism with a base of 24 square feet and a volume of 456 cubic feet?

Bumek [7]

V=Bh (with B being the area of the base).

h=V/B, or 456/24, or 19.

7 0

2 years ago

The Pythagorean theorem is a² + b² = c². Solve for b. b=±c+a−−−−√ b=±c2−a2−−−−−−√ b=±c2+a2−−−−−−√ b=±c−a−−−−√

uysha [10]

$a^{2} +b^{2} =c^{2}$

As we have to solve for b, it means we have to isolate b

So first of all subtract $a^{2}$ from both sides

So we get

$b^{2} =c^{2} -a^{2}$

Now we need b , but its b^2 , so we can take square root on both sides.

taking square roots on both sides

$b= +- \sqrt{c^2 -a^2}$

Hence option B is correct

4 0

3 years ago

4 days I have 140 copies of a book, 9 days I only have 50 left. Write an equation where c(t)=my+b where c is number of copies st

alexandr402 [8]

Answer:

$c(t)=-18t+212$ .

Step-by-step explanation:

We have been given that 4 days I have 140 copies of a book, 9 days I only have 50 left. We are asked to write an equation $c(t)=my+b$ , where c is number of copies still on hand and t days being available.

We have two points on line (4,140) and (9,50). Now, we will use these points to find slope as:

$m=\frac{140-50}{4-9}$

$m=\frac{90}{-5}$

$m=-18$

Now, we will use point-slope form of equation $y-y_1=m(x-x_1)$ and substitute $m=-18$ and coordinates of point (9,50) as:

$y-50=-18(x-9)$

$y-50=-18x+162$

$y-50+50=-18x+162+50$

$y=-18x+212$

Therefore, our required equation would be $c(t)=-18t+212$ .

5 0

3 years ago