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The equation of line c is y–6=-7/6(x-5) Line d, which is parallel to line c, includes the point (5,


7). What is the equation of line d?

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Final answer:

To find the equation of line d parallel to line c with a given point, use the slope from line c (-7/6) and the point-slope form with the point (5, -7). The resulting equation is y + 7 = -7/6(x - 5).

Step-by-step explanation:

The equation of line c is given as y – 6 = -7/6(x – 5). To find the equation of line d which is parallel to line c and passes through the point (5, –7), we need to use the same slope because parallel lines have equal slopes.

The slope of line c is -7/6, and we can use the point-slope form of a line to find the equation of line d.

Point-slope form is given by y – y1 = m(x – x1), where m is the slope and (x1, y1) is a point on the line. Since line d passes through (5, –7), and has a slope of -7/6, its equation can be written as:

y – ( –7) = -7/6(x – 5)

Simplifying the equation, we get:

y + 7 = -7/6(x – 5)

This is the equation of line d.

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