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Write an equation of a line that passes through the given point and is parallel to the given line.

1 Answer

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Answer:

Explanation:

To provide an equation for a line that passes through a specific point and is parallel to a given line, I'll need two pieces of information:

The given point (x₁, y₁)

The equation of the given line

Assuming you provide the equation of the given line in the form

=

+

y=mx+b, where

m is the slope and

b is the y-intercept, the equation of the line that's parallel to this and passes through the given point will have the same slope

m.

However, since I don't have the specific point or the equation of the given line from your question, I'll provide a generic example:

Let's say the given line is

=

2

+

3

y=2x+3. The slope of this line is

=

2

m=2.

Let's also assume the given point is (1, 4).

To find the equation of the line passing through (1, 4) and having a slope of 2:

Use the point-slope form:

1

=

(

1

)

y−y

1

=m(x−x

1

)

Inserting our values in:

4

=

2

(

1

)

y−4=2(x−1)

Expand:

4

=

2

2

y−4=2x−2

Rearranging:

=

2

+

2

y=2x+2

This is the equation of the line that passes through the point (1, 4) and is parallel to the given line

=

2

+

3

y=2x+3.

If you provide the exact point and line, I can give the specific equation for that scenario.

User Bladekp
by
8.8k points

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