All categories

4 years ago

How do I find the slope to this equation ? 2х-Зу = 12

Mathematics

2 answers:

antiseptic1488 [7]4 years ago

8 0

Answer:

2/3

Step-by-step explanation:

Slope of the equation is determined as per slope-intercept form:

y = mx +b

Bring the given equation to mentioned form:

2x - 3y = 12 ⇒ make y the subject
3y = 2x - 12 ⇒ divide all terms by 3
y = 2/3x - 4 ⇒ this is the slope-intercept form

Since m = 2/3, it is the slope of the given equation

evablogger [386]4 years ago

3 0

Answer:

slope = $\frac{2}{3}$

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 )

Given

2x - 3y = 12 ( subtract 2x from both sides )

- 3y = - 2x + 12 ( divide all terms by - 3 )

y = $\frac{2}{3}$ x - 4 ← in slope- intercept form

with slope m = $\frac{2}{3}$

You might be interested in

3. Marco's Pizzeria has a pizza deal of 5 slices for $6. New York Slice has a pizza deal of 4 slices for $5. Which pizza place h

NeTakaya

New York slice has a better pizza deal

5 0

3 years ago

Read 2 more answers

In APQR, find the measure of Z.P.

egoroff_w [7]

Step-by-step explanation:

multiple possibilities.

e.g.

we could use Pythagoras to get QR, and then use the law of sine to get angle P.

or we can use the law of sine to get angle R, and then use the rule that the sum of all angles in a triangle is always 180° to get angle P.

I propose the second option :

the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

with a, b, c being the sides always opposite of their associated angles.

33.8/sin(R) = 57.6/sin(90) = 57.6

sin(R) = 33.8/57.6 = 0.586805555...

R = 35.93064691...°

180 = 90 + 35.93064691... + P

P = 54.06935309...°

3 0

2 years ago

Derive the equation of the parabola with a focus at (−5, −5) and a directrix of y = 7

WARRIOR [948]

Answer: The equation of the parabola is $(x+5)^2=-24(y-1)$ .

Explanation:

It is given that the focus of the parabola is (-5,-5) and the directrix is y=7.

The standard form of the parabola is,

$(x-h)^2=4p(y-k)$

Where y=k-p is directrix and (h,k+p) is the focus.

Since focus is given,

$(h,k+p)=(-5,-5)$

On comparing,

$h=-5$

$k+p=-5$ .... (1)

The directrix is y=7.

$k+p=7$ .... (2)

Add equation (1) and (2),

$2k=2$

$k=1$

Put this value in (1).

$p=-6$

Put p= -6, h= -5 and k=1 in the standard form of the parabola.

$(x+5)^2=4(-6)(y-1)$

$(x+5)^2=-24(y-1)$

Therefore, the equation of parabola is $(x+5)^2=-24(y-1)$ .

8 0

3 years ago

Read 2 more answers

Amanda has a car loan for 12,000 She is paying 3% interest for 6 years. How much will she pay in interest for the 6 years

NNADVOKAT [17]

She should get
$12000 \times 3\% \times 6$
... I hope it's right ?:)

5 0

4 years ago

What is the perimeter of a polygon with the vertices at (-2,1) (-2,4) (2,7) (6,4) (6,1)?

rusak2 [61]

Answer:

Step-by-step explanation:

3 0

3 years ago