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30 votes
30 votes
Write the equation of the line that passes through

the given point and is parallel to the given line.
SEE EXAMPLE 1
15. (5, −4); y = ≤⁄x − 4
17. (-3, 2); y=-4
16. (2, 7); 3x - y = 5
18. (6, 4); 2x + 3y = 18

User SHM
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1 Answer

13 votes
13 votes

Answer:

I'll do #17 as an example of how to do the others. #15 doesn't make sense. What is "= ≤⁄x?"

Explanation:

17. (-3, 2); y=-4

y=4 is a horizontal line, where all values of y are 4, regardless of x. A horizontal line has a slope of 0. [Y does not depend on x].

That leaves us with y =0x + b

For this line to go through point (-3,2), it would have to have a y-intercept (b) of 2 [b is the value of y when x=0]. Since y=0 regardless of x, b must be 2.

The parallel line that goes through (-3,2) is:

y = 0*x + 2, or

y = 2

User David Winiecki
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