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devlian [24]
3 years ago
10

Write the slope-intercept form of the equation of the line described. through: (5,2), parallel to y = 3

Mathematics
1 answer:
rewona [7]3 years ago
6 0

Answer:

<h3>               y = 2</h3>

Step-by-step explanation:

P=(5,\,2)\quad\implies\quad x_p=5\,,\quad y_p=2

The slope-intercept form the equation of the line:

y = mx + b

Two lines are parallel if they hav the same slope.

no x in given line means m = 0   ⇒   y = b

The line goes through P so:  y_p=b

2 = b

b = 2

so ithe equation of line parallel to given is:

                                                 y = 2

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#'s 9-14

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Slope-Intercept Form: y=mx+b

Standard Form: ax+by=c

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There are multiple answers to your question-

  1. If you are only missing b(the y-intercept) but are given a set of points, plug the points into x and y and solve for b.
  2. If you are only missing the slope(m) but are given a set of points, plug the points into x and y and solve for m.
  3. If you are given the standard form/point-slope form, change the equation to slope intercept form.
  4. If you are given an complete form(there is an x and y; no missing variables), but are not sure what it is, plug in some numbers in x to find y, then graph.
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