Write an equation that is parallel to the line 4x - y = 2 and passes through the point (-2, 3)

We can start from the given line's coefficients and translate the line from the origin to the given point.
  4(x -(-2)) -(y -3) = 0
  4x +8 -y +3 = 0

The equation of the desired line is ...
  4x -y = -11

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For standard form line ax+by=c, any parallel line will have only a different value of c. For c=0, the line goes through the origin (0, 0). To make it go through point (h, k) we can write it as
  a(x-h) +b(y-k) = 0
which is completely equivalent to
  ax +by = ah +bk

The correct option is option [B].

The probability that both girls Selena and Tracey will a next at bat is .

Step-by-step explanation:

Independent events:

If A and B are event. The occurrence of one of them does not affect the outcomes of other event. Then A and B are independent events.

P(A and B) =P(A)× P(B)

Dependent events:

If A and B are event. The outcomes of one of them affects the outcomes of other event. Then A and B are called dependent events.

P(A and B) =P(A)× P(B|A)= P(B)×P(A|B)

Given that,

Selena has 8 hits out of 20 times at bat.

The number of hits by Tracey out of 16 is 6 at bat.

A= Selena hits a softball.

B= Tracey hits a softball.

The probability that the Selena his a softball is

=P(A)

The probability that the Tracey his a softball is

=P(B)

Both event are independent. Sine the events do not affect the outcomes of other event.

The probability that both girls will a next at bat is

=P(A and B)

=P(A)×P(B)