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kotegsom [21]
3 years ago
5

What is the equation of a line passing through the point

Mathematics
1 answer:
Anettt [7]3 years ago
3 0

Answer:

y=5x-13

Step-by-step explanation:

<u><em>The correct question is</em></u>

What is the equation of a line passing through the point  (3, 2) and parallel to the line y=5x+4

step 1

Find the slope of the given line

we have

y=5x+4

This is the equation of the line in slope intercept form

The slope is m=5

step 2

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are equal

so

The slope  is  m=5

step 3

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=5

point\ (3,2)

substitute

y-2=5(x-3)

step 4

Convert to slope intercept form

y=mx+b

isolate the variable y

y-2=5x-15

y=5x-15+2

y=5x-13

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Step-by-step explanation:

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Here the piecewise function is:

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