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4)) the equation for line j can be written as y=(1)/(8)x+7 . parallel to line j is line k, which passes through the point (-3,-1) .

Question

4)) The equation for line j can be written as y=(1)/(8)x+7 . Parallel to line j is line k, which passes through the point (-3,-1) . What is the equation of line k?

Solution

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Ayla Mestre · Tutor por 5 anos

Resposta

To find the equation of line k, we need to use the point-slope form of a linear equation, which is given by: where is a point on the line and is the slope of the line.Since line k is parallel to line j, it will have the same slope as line j. The slope of line j is , so the slope of line k is also .Now we can substitute the values into the point-slope form: Simplifying this equation gives us: Expanding and rearranging the equation gives us the final equation of line k: Simplifying further, we get: Therefore, the is .