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A line has the equation y= 1/3x-5 find the equation of a parallel line passing through (3,2)

Sagot :

rspill6

Answer:

y = (1/3)x + 1

Step-by-step explanation:

A parallel line has the same slope as the reference line.  This means the new equation would have a slope of (1/3).  The y-intercept, -5, needs to be different.  But since the line needs to pass through point (3,2), we need a value of b that will cause that to happen.

We can start with y = (1/3)x + b.  As long as b is not -5, the line will be different and parallel.  To force it through point (3,2), just enter those values and solve for b:

y = (1/3)x + b

2= (1/3)*3 + b

2 = 1 + b

b = 1

The equation becomes y = (1/3)x + 1.

See attached image.

View image rspill6
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