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Eva8 [605]
1 year ago
9

X+3y=6 solve slope intercept

Mathematics
1 answer:
vovangra [49]1 year ago
8 0

The equation of the line in the slope-intercept form is y = -1/3(x) + 2.

The slope of the line is -1/3 and the y-intercept is 2

From the question, we are to determine the slope and the intercept of the given equation.

The given equation is

x + 3y = 6

Rewrite the equation in the slope-intercept form of the equation of a line

Rewriting in slope-intercept form

x + 3y = 6

3y = -x + 6

y = -1/3(x) + 2

Compare with the general form of the slope-intercept form of a line

y = mx + b

where m is the slope

and b is the y-intercept

By comparing

m = -1/3

b = 2

Therefore,

Slope, m = -1/3  

y-intercept, b = 2

Learn more on Slope-intercept form of a line here: brainly.com/question/1884491

#SPJ1

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Find an equation for the inverse of the relation y=6x-3. Show how you found the inverse equation.
Elis [28]
Hi there! The answer is y = 1/6x + 1/2

To find the inverse function x and y need to switch places.

y = 6x - 3 \\ x = 6y - 3

Now rewrite the equation, until it will be in standard form (slope-intercept form) again.
x = 6y - 3

Add 3.
x + 3 = 6y

Switch sides.
6y = x + 3

Divide both sides by 6.
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Hence, the answer is y = 1/6x + 1/2.
~ Hope this helps you!
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3 years ago
Find cosØ if sinØ=-12/13 and tanØ&gt;0.<br><br> A) -5/12<br> B) -5/13<br> C) 12/5<br> D) -13/12
mestny [16]

Answer:

-5/13

Step-by-step explanation:

sin theta = opp / hyp

sin theta = -12 /13

we can find the adj side by using the pythagorean theorem

adj^2 + opp ^2 = hyp^2

adj^2 +(-12)^2 = 13^2

adj^2 +144 =169

adj^2 = 169-144

adj^2 = 25

Taking the square root of each side

adj = ±5

We know that it has to be negative since it is in the third quad

adj = -5

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cos theta = -5/13

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3 years ago
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pishuonlain [190]
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2 years ago
If you know the diameter of a circle,
arsen [322]

Step-by-step explanation:

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Step 1: converted diameter to radius.

diameter = 2 radius

In other way of writing, radius = \frac{1}{2} diameter.

Step 2: substitute radius into the formula.

Area of a circle = π(\frac{1}{2}d)²

Step 3: substitute π into the formula.

some question is given the value of π), if not substitute 3.14 for π.

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Step 4: substitute d into the formula, then we can solve its area.

b. a. Circumference of a circle = 2πr, where r means radius.

Step 1: converted diameter to radius.

diameter = 2 radius

In other way of writing, radius = \frac{1}{2} diameter.

Step 2: substitute radius into the formula.

C = 2π(\frac{1}{2}d)

Step 3: substitute π into the formula.

some question is given the value of π), if not substitute 3.14 for π.

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Step 4: substitute d into the formula, then we can solve its circumference.

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