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Find the equation of the line passing through the given point and parallel to the given line. ​

Find the equation of the line passing through the given point and parallel to the-example-1
User BlaBRA
by
8.4k points

1 Answer

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Answer in standard form: 2x+y = 3

Answer in slope intercept form: y = -2x+3

Both equations describe the same line. Select one of those formats to write to your teacher.

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Reason:

The equation 2x+y = 9 solves to y = -2x+9; it is of the form y = mx+b

  • m = -2 = slope
  • b = 9 = y intercept

The parallel line will also have a slope of -2. Parallel lines have equal slopes, but different y intercepts.

The slope-intercept answer is of the form y = -2x+b

Plug in (x,y) = (-1,5) and solve for b.

y = -2x+b

5 = -2*(-1)+b

5 = 2+b

3 = b

b = 3

We go from y = -2x+b to y = -2x+3 which is in slope intercept form.

Adding 2x to both sides gets us 2x+y = 3 which is in standard form.

User Niqua
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