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son4ous [18]
3 years ago
7

What is the equation of the line that passes through (–2, 3) and is parallel to 2x + 3y = 6?

Mathematics
2 answers:
Zinaida [17]3 years ago
7 0
2x + 3y = 6
3y = - 2x + 6
y = -2/3x + 2....slope here is -2/3
A parallel line will have the same slope

y = mx + b
slope(m) = - 2/3
(-2,3)...x = -2 and y = 3
now we sub, we r looking for b, the y intercept
3 = -2/3(-2) + b
3 = 4/3 + b
3 - 4/3 = b
9/3 - 4/3 = b
5/3 = b

ur equation is : y = -2/3x + 5/3 (slope intercept form)

y = -2/3x + 5/3
2/3x + y = 5/3
2x + 3y = 5 (standard form)
Anastasy [175]3 years ago
4 0
Paralell lines have the same slope

in the form
ax+by=c
a and b influence the slope
since it is the same slope
a and b remain the same

2x+3y=c
find c
(-2,3)
x=-2
y=3
input those points to find c
2(-2)+3(3)=c
-4+9=c
5=c

the equesiton is

2x+3y=5
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Probabilities are used to determine the chances of an event

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The probabilities are given as:

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To calculate the probability of event B, we make use of the following formula

\mathbf{P(A\ and\ B) = P(A) + P(B) - P(A\ or\ B)}

So, we have:

\mathbf{0.21 = 0.48 + P(B) - 0.89}

Collect like terms

\mathbf{P(B)= -0.48  +0.21 + 0.89}

\mathbf{P(B)= 0.62}

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Read more about probabilities at:

brainly.com/question/11234923

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