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jolli1 [7]
3 years ago
5

Write various of the equation of a line that passes through (-6, 3) and has a slope of - 1/3

Mathematics
1 answer:
pishuonlain [190]3 years ago
5 0

Answer:

\large\boxed{y-3=-\dfrac{1}{3}(x+6)-\text{point-slope form}}\\\boxed{y=-\dfrac{1}{3}x+1-\text{slope-intercept form}}\\\boxed{x+3y=3-\text{standard form}}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

We have

m=-\dfrac{1}{3},\ (-6,\ 3)\to x_1=-6,\ y_1=3

Substitute:

y-3=-\dfrac{1}{3}(x-(-6))\\\\y-3=-\dfrac{1}{3}(x+6)

Convert to the slope-intercept form

y=mx+b

y-3=-\dfrac{1}{3}(x+6)           <em>use the distributive property</em>

y-3=-\dfrac{1}{3}x-2           <em>add 3 to both sides</em>

y=-\dfrac{1}{3}x+1

Convert to the standard form

Ax+By=C

y=-\dfrac{1}{3}x+1           <em>multiply both sides by 3</em>

3y=-x+3             <em>add x to both sides</em>

x+3y=3

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Choose the correct simplification of the expression a6b3/a4b2
Law Incorporation [45]

Answer:

a2b

Step-by-step explanation:

a6b3 / a4b2

When dividing exponents, you subtract them.

a6-4

b3-2

Leaving you with a2b


8 0
3 years ago
In converting 10 inches to centimeters, what unit (omit the number) would you place in the numerator of your ratio?
belka [17]

Answer:

  centimeters

Step-by-step explanation:

The numerator of the conversion factor always has the "to" units. The denominator has the "from" units. That way, when you multiply, the "from" units cancel:

  (xx <em>from</em>) · (yy <em>to</em>)/(zz <em>from</em>) = xx·yy/zz · (<em>from/from</em>) · <em>to</em> = xx·yy/zz · <em>to</em>

Here, you want to convert to centimeters, so centimeters will be the units in the numerator.

  10 in · (2.54 cm)/(1 in) = 25.4 cm

_____

The conversion factor is always "1". That is, the numerator and denominator are always <u>equal</u> in value. Here, 2.54 cm = 1 in, so (2.54 cm)/(1 in) = 1. You can multiply by 1 anytime you like. For units conversion, it only has the effect of changing the units.

5 0
3 years ago
Alvin is 14 years older than elga's The sum of their ages is 94 what is elga'ss age
Sonja [21]
Elga’s age is 40 and Alvin’s age is 54
8 0
2 years ago
Read 2 more answers
BRAINLIESTT ASAP! PLEASE HELP ME :)
Oduvanchick [21]

Answer:

\displaystyle symmetric

Step-by-step explanation:

Everything is distributed evenly on both ends.

I am joyous to assist you anytime.

8 0
3 years ago
5.7kg in grams convert
dimaraw [331]

Answer:

5700 grams

Step-by-step explanation:

1 kg = 1000 grams

5.7 kg = 5.7 × 1000

=> 5700 grams

hope it helps!

5 0
3 years ago
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