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Sav [38]
4 years ago
13

Find the equation of the line passing through (4,3) and parallel to the line whose equation is y+2x=m

Mathematics
2 answers:
Butoxors [25]4 years ago
6 0

Answer:

  y +2x = 11

Step-by-step explanation:

The parallel line will have the same equation with a value for "m" that makes the point lie on the line. Fill in the point values to see what "m" has to be.

  y + 2x = m

  3 +2·4 = m = 11

The equation of the line is ...

  y + 2x = 11

Reptile [31]4 years ago
5 0

Answer:

y = - 2x + 11

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange y + 2x = m into this form by subtracting 2x from both sides

y = - 2x + m ← in slope- intercept form

with slope m = - 2

Parallel lines have equal slope, thus

y = - 2x + c ← is the partial equation

To find c substitute (4, 3) into the partial equation

3 = - 8 + c ⇒ c = 3 + 8 = 11

y = - 2x + 11 ← equation of line

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