Help. The problem is in the picture

Mathematics

1 answer:

inn [45]4 years ago

6 0

Answer:

The answer to your question is y = 2/3x + 4

Step-by-step explanation:

Data

Equation y = 2/3 x + 5

New line = ?

Process

Two lines are parallel if the have the same slope. The slope is the coefficient of the x.

1.- Get the slope of the original line

y = 2/3x + 5

slope = 2/3

2.- Two find the equation of a parallel line we need to point I will use (0, 4)

Use the point slope formula

y - y1 = m(x - x1)

y - 4 = 2/3(x - 0)

y - 4 = 2/3 x

y = 2/3x + 4

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Point A (6,2) is translated using the vector <-5,2>. Where is the new point located?

Dominik [7]

<h3>Answer: (1,4)</h3>

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Explanation:

The notation <-5,2> is the same as writing the translation rule $(x,y) \to (x-5,y+2)$

It says: move 5 units to the left and 2 units up

The point (6,2) moves to (1,2) when moving five units to the left. Then it ultimately arrives at (1, 4) after moving 2 units up. You could move 2 units up first and then 5 units to the left later on, and you'd still arrive at (1, 4). In this case, the order doesn't matter (some combinations of transformations this won't be the case and order will matter).

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Or you could write out the steps like so

$(x,y) \to (x-5, y+2)\\\\(6,2) \to (6-5, 2+2)\\\\(6,2) \to (1, 4)\\\\$