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finlep [7]
4 years ago
11

What is the slope-intercept form of the equation 4x+2y=6

Mathematics
2 answers:
slava [35]4 years ago
4 0

The equation of the line is \boxed{y =  - 2x + 3}.

Further explanation:

The linear equation with slope m and intercept c is given as follows.

\boxed{y = mx + c}

The formula for slope of line with points \left( {{x_1},{y_1}} \right) and \left( {{x_2},{y_2}} \right) can be expressed as,

\boxed{m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}

Given:

The equation is 4x + 2y = 6.

Explanation:

The given linear equation is 4x + 2y = 6.

Solve the linear equation 4x + 2y = 6 to obtain the slope intercept form.

\begin{aligned}4x + 2y &= 6\\2y &= - 4x + 6\\\frac{{2y}}{2}&= \frac{{ - 4x}}{2} + \frac{6}{2}\\y&=  - 2x + 3\\\end{aligned}

The equation of the line is \boxed{y =  - 2x + 3}.

Learn more:

  1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: numbers, intercept form, slope-intercept form, linear equation, 4x + 2y = 6,slope, slope intercept, inequality, equation, linear inequality, shaded region, y-intercept, graph, representation, origin.

SpyIntel [72]4 years ago
3 0
 4x+2y=6   ⇒  This is in standard form. 

Now, lets find the slope intercept form   ⇒  y = mx + b 

4x + 2y = 6
-4x           -4x

2y = -4x + 6

2y/2 = -4x/2 + 6/2
y = -2x + 3

Answer: y = -2x + 3
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out of 30 students surveyed 17 have a dog based on these results predict how many of the 300 students in the school have a dog
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2. What is an equation line that pass-cs through the point (3,-1) and h (4)
joja [24]
Y=mx+b
m=slope
b=y intercept
we are given (3,-1)
one solution is x=3 and y=-1 or
when x=3 then  y=-1
also slope=2
so
y=2x+b
subsitue 3 for x and -1 for y and solve for b
-1=2(3)+b
-1=6+b
subtract 6
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answer is number 4
5 0
3 years ago
Please help me!!!! Help me find the dimensions. :(
Gnom [1K]
The volume, surface area and the ratios of the SA to volume will be as follows:
Volume=πr²h
Area=2πr²+πdh
Ratio of SA to volume=Area/volume
π=3.14
Thus using the above formula:

1.
a]
Radius: 3 inches
Height: 2 inches
Volume=πr²h
volume=π×3²×2=56.52 in³

b]
Area=2πr²+πdh
2×π×3²+π×2×3×2
=56.55+37.68
=94.23 in²

c]
Ratio=area/volume
=94.23/56.52
=1.6672


1. 
Radius: 2 inches
Height: 9 inches

a]
V=πr²h
V=3.14*2^2*9
V=113.04 in³

b] 
Area=2πr²+πdh
=2*3.14*2^2+3.14*2*2*9
=25.12+113.04
=138.16 in²

c]
Ratio=area/volume
=138.16/113.04
=11/9

3.
Diameter=4 inches
Height= 9 inches

a]
V=πr²h
V=3.14×2²×9
V=113.04

b]
Area=2πr²+πdh
=2*3.14*2^2+3.14*4*9
=25.12+113.04
=138.16 in²

c]
Ratio=area/volume
=138.16/113.04
=11/9

4]
Diameter: 6 inches
Height: 4 inches

a]
Volume=πr²h
=3.14×3²×4
=113.04 in³

b]
Area=2πr²+πdh
=2×3.14×3²+3.14×6×4
=56.52+75.36
=131.88 in²

c] Ratio
131.88/113.04
=7/6

1. For the surface area to volume to be small it means that the area is smaller than the volume, for surface area to volume  be larger it means that the surface area is larger than the volume. It is more economical for the surface area to volume to be small because it will mean that small amount of materials make cans with large volume. This means cost of production is cheaper.

2. To evaluate this process let's use one of the dimensions:
Radius: 3 inches
Height: 2 inches:

i. add radius and height:
3+2=5 inches
ii. Multiply radius and height:
3×2=6
iii. Dividing the result from step 1 by the result in step 2:
5/6

iv. Multiply the result from step 3 by 2:
5/6×6
=5
This result does not seem to add up to the result in our earlier ratio. Thus we conclude that Khianna was wrong. This method can't work with 3-D figures.


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Answer:

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