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Write an equation for the line parallel to the given line that contains C.

C(1,5); y = (1/9)x + 5.

User Dextrey
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1 Answer

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Final answer:

To find an equation for a line parallel to the given line that contains point C(1,5), we need to find the slope of the given line and use the point-slope formula.

Step-by-step explanation:

To find an equation for a line parallel to the given line that contains point C(1,5), we need to find the slope of the given line. The equation of the given line is y = (1/9)x + 5, which is in the form y = mx + b, where m is the slope. So, the slope of the given line is 1/9.

Since parallel lines have the same slope, the equation of the line parallel to the given line will also have a slope of 1/9. We can now use the point-slope form of a linear equation to write the equation of the line parallel to the given line:

y - y1 = m(x - x1)

Substituting the values of C(1,5) and m = 1/9 into the equation, we get:

y - 5 = (1/9)(x - 1)

This is the equation of the line parallel to the given line that contains point C(1,5).

User Nmanikiran
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