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How do you write a equation parallel to another equation given a ordered pair?

User Gvs Akhil
by
8.3k points

1 Answer

7 votes

To write an equation parallel to another equation through a given ordered pair, you can follow these steps:

Determine the Slope:

The two parallel lines will have the same slope. If the given equation is in the form

=

+

y=mx+b, where

m is the slope, then the parallel line should also have a slope of

m.

Use the Ordered Pair:

Substitute the coordinates of the given point (ordered pair) into the equation.

This will give you the

y-intercept (

b).

Write the Equation:

Write the equation in the form

=

+

y=mx+b using the determined slope and

y-intercept.

For example, let's say you have the line

=

2

+

3

y=2x+3 and you want to find a parallel line through the point

(

1

,

4

)

(1,4):

Determine the Slope:

The slope of the given line is

2

2.

Use the Ordered Pair:

Substitute

=

1

x=1 and

=

4

y=4 into the equation:

4

=

2

(

1

)

+

4=2(1)+b.

Solve for

b:

=

2

b=2.

Write the Equation:

The equation of the parallel line is

=

2

+

2

y=2x+2.

So, the parallel line to

=

2

+

3

y=2x+3 that passes through the point

(

1

,

4

)

(1,4) is

=

2

+

2

y=2x+2.

User Vinkal
by
8.0k points

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