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4) line g has an equation of y=-(2)/(9)x+6 . parallel to line g is line h, which passes through the point (3,2) . what is the equation

Question

4) Line g has an equation of y=-(2)/(9)x+6 . Parallel to line g is line h, which passes through the point (3,2) . What is the equation of line h?

Solution

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Fernando Profissional · Tutor por 6 anos

Resposta

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