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3 years ago

What is the equation of the following line? Be sure to scroll down first to see

Mathematics

2 answers:

PolarNik [594]3 years ago

6 0

Answer:

y=-3x

Step-by-step explanation:

we know that the equation of the line is:

y=mx+b

m= slope= (y2-y1)/(x2-x1)

we have two points giver from the graph:

point 1: (0,0)

point 2: (3,-9)

we to find the slope:

m=(-9-0)/(3-0)

m=-3/3

m=-3

we need to find "b"

using the point (0,0)

we have

0=0x+b

so we have b=0

finally we have

y=-3x+0

y =-3x

CaHeK987 [17]3 years ago

3 0

Answer:

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 )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (3, - 9) ← 2 points on the line

m = $\frac{-9-0}{3-0}$ = $\frac{-9}{3}$ = - 3

Since the line passes through the origin then c = 0

y = - 3x + 0, which is simply

y = - 3x → B

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What is the side length a in the triangle below?

grigory [225]

Answer:

a=5

Step-by-step explanation:

a^2+b^2=c^2

c^2-b^2=a^2

13^2-12^2=a^2

169-144=a^2

25=a^2

5=a

8 0

3 years ago

Describe the slope of the line<br> Find the slope

Dmitry_Shevchenko [17]

Answer:

Question one: Zero slope
Question two: $m=\frac{0}{4}$

Step-by-step explanation:

Given the following questions:

<u>Question one:

</u>The following line is what you call a "zero slope." Zero slopes are lines that are neither decreasing or increasing and remain at a constant or just a straight line.

Question two:

Point A = (-2, -3) = (x1, y1)
Point B = (2, -3) = (x2, y2)

Using the formula for slope or rise over run we will solve and find the slope of this line.

$m=\frac{y2-y1}{x2-x1}$
$m=\frac{-3--3}{2--2} =\frac{0}{4}$
$m=\frac{0}{4}$

The slope of this line is "0/4."

Hope this helps.

8 0

2 years ago

Sam have 10 books and Mary have 10 books too how manny books they all have

andreev551 [17]

Sam and Mary have 20 books.

8 0

3 years ago

Read 2 more answers

The measure of an interior angle of a regular polygon is 120°. What is the measure of each exterior angle? The polygon has how m

Sunny_sXe [5.5K]

Answer:

60°, arms 6

Step-by-step explanation:

let the total arms = n

total generated angles in a regular polygon is = (n-2)×180

now,

(n-2)×180 = 120 n

or, 180n - 360 =120n

or, 60n = 360

or, n = 6

4 0

2 years ago

Help please?

Alla [95]

$\bf \begin{array}{clclll}
3^{1001}&\qquad &4^{1002}\\
\uparrow &&\uparrow \\
a&&b
\end{array}\\\\
-----------------------------\\\\
(a+b)^2-(a-b)^2\implies (a^2+2ab+b^2)-(a^2-2ab+b^2)
\\\\\\
a^2+2ab+b^2-a^2+2ab-b^2\implies 2ab+2ab\implies 4ab
\\\\\\
now\qquad 4(3^{1001})(4^{1002})=k12^{1001}\qquad 
\begin{cases}
12^{1001}\\
(4\cdot 3)^{1001}\\
4^{1001}\cdot 3^{1001}
\end{cases}$

$\bf \\\\\\
4(3^{1001})(4^{1002})=k(4^{1001}\cdot 3^{1001})\implies \cfrac{4(3^{1001})(4^{1002})}{4^{1001}\cdot 3^{1001}}=k
\\\\\\
4\cdot \cfrac{3^{1001}}{3^{1001}}\cdot \cfrac{4^{1002}}{4^{1001}}=k\implies 4\cdot 4^{1002}4^{-1001}=k\impliedby 
\begin{array}{llll}
\textit{same base}\\
\textit{add the}\\
exponents
\end{array}
\\\\\\
4\cdot 4^{1002-1001}=k\implies 4\cdot 4^1=k\implies 16=k$

6 0

3 years ago