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3 years ago

12

Match each equation to its equivalent equation in slope-intercept form.

1 answer:

Bumek [7]3 years ago

6 0

1.) y+6=3(x+2) C
y+6=3x+6
y=3x+6-6
y=3x+6
2.) y=1/2(x+8)-2 B
y=1/2x+4-2
y=1/2x+2
3.) y+1=1(x-3) E
y+1=x-3
y=x-3-1
y=x-4
4.) -4x+y=-2 A
y=-4x-2
5.) 2x-4y=-4 F
-4y=-2x-4
y=-2/-4x-4/-4
y=2/4x+4/4
y=1/2x+1
6.) 2x+4y=8 D
4y=-2x+8
y=-2/4x+8/4
y=-1/2x+4/2
y=-1/2x+2

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Which is the graph of linear inequality 6x + 2y > –10? On a coordinate plane, a dashed straight line with negative slope goes

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Answer:

On a coordinate plane, a dashed straight line with negative slope goes through (negative -5/3, 0) and (0, negative 5). Everything to the right of the line is shaded

Step-by-step explanation:

6x + 2y > –10

Solve for y

Subtract 6x from each side

2y > -6x -10

Divide by 2

y > -3x - 5

The y intercept is -5 and the slope is -3

The x intercept is -5/3

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3 years ago

Write an equation in slope intercept form that passes through -2, 3 and Is parallel to the line with equation 3X +2y=6

soldier1979 [14.2K]

The equation of line is: $y=-\frac{3}{2}x$ as the y-intercept is zero

Step-by-step explanation:

Given

(-2,3)

Equation of line => 3x+2y=6

Converting the equation in slope intercept form

$3x+2y=6\\2y=-3x+6\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=-\frac{3}{2}x+\frac{6}{2}\\y=-\frac{3}{2}x+3$

The co-efiicient of x is the slope of the fiven line

So,

m=-3/2

The line parallel to given line will have the same slope as slopes of two parallel lines are equal

Now,

Slope-intercept form is:

$y=mx+b$

Putting the value of slope

$y=-\frac{3}{2}x+b$

to find the value of b, put (-2,3) in the equation

$3=-\frac{3}{2}(-2)+b\\3=3+b\\b=0\\$

Putting the value of b and m

$y=-\frac{3}{2}x+0\\y=-\frac{3}{2}x$

Hence,

The equation of line is: $y=-\frac{3}{2}x$ as the y-intercept is zero

Keywords: Slope-intercept form, Slope

Learn more about slope-intercept form at:

#LearnwithBrainly

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3 years ago

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Vlada [557]

Answer:

If written in Standard form this equation would be:

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Now i graphed this equation in Desmos and here is what i got:

Hope this helps!

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3 years ago

Read 2 more answers

Suppose I have an urn with 9 balls: 4 green, 3 yellow and 2 white ones. I draw a ball from the urn repeatedly with replacement.

Mrrafil [7]

Answer:

$E(X_n)=\frac{2(n-1)}{27}$

$E(y)=\frac{14}{9}$

Step-by-step explanation:

From the question we are told that:

Sample size n=9

Number of Green $g=4$

Number of yellow $y=4$

Number of white $w=4$

Probability of Green Followed by yellow P(GY) ball

$P(GY)=\frac{4}{9}*\frac{3}{9}$

$P(GY)=\frac{4}{27}$

Generally the equations for when n is even is mathematically given by

$Probability of success P(S)=\frac{4}{27}$

$Probability of Failure P(F)=\frac{27-4}{27}$

$Probability of Failure P(F)=\frac{23}{27}$

Therefore

$E(X_n)=\frac{n}{2}*P$

$E(X_n)=\frac{n}{2}*\frac{4}{27}$

$E(X_n)=\frac{2n}{27}$

Generally the equations for when n is odd is mathematically given by

$\frac{n-1}{2}$

$E(X_n)=\frac{n-1}{2}*\frac{4}{27}$

$E(X_n)=\frac{2(n-1)}{27}$

b)

Probability of drawing white ball

$P(w)=\frac{2}{9}$

Therefore

$E(w)=\frac{1}{p}$

$E(w)=\frac{1}{\frac{2}{9}}$

$E(w)=\frac{9}{2}$

Therefore

$E(y)=[E(w)-1]\frac{4}{9}$

$E(y)=[\frac{9}{2}-1]\frac{4}{9}$

$E(y)=\frac{14}{9}$

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3 years ago