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4) the equation of line p is y=(1)/(4)x-8 line q, which is parallel to line p includes the point (6,-3) what is the equation of line q?

Question

4) The equation of line p is y=(1)/(4)x-8 Line q, which is parallel to line p includes the point (6,-3) What is the equation of line q?

Solution

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4.2 (131 Votos)
Bruno Profissional · Tutor por 6 anos

Resposta

To find the equation of line q, 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 q is parallel to line p, it will have the same slope as line p. The slope of line p is , so the slope of line q is also .Now we can substitute the values of the point and the slope into the point-slope form equation: Simplifying this equation gives us: Finally, we can rearrange the equation to get it in slope-intercept form: Therefore, the equation of line q is .