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1)) the equation for line t can be written as y+8=(1)/(2)(x+7) line u includes the point (8,10) and is parallel to line t. what is the

Question

1)) The equation for line t can be written as y+8=(1)/(2)(x+7) Line u includes the point (8,10) and is parallel to line t. What is the equation of line u?

Solution

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Márcio Profissional · Tutor por 6 anos

Resposta

To find the equation of line u, 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 u is parallel to line t, it will have the same slope as line t. The slope of line t can be found by rearranging the equation into slope-intercept form ( ), where is the slope.Rearranging the equation, we get: Simplifying further, we have: From this equation, we can see that the slope of line t is .Now, we can use the point-slope form to find the equation of line u. We know that line u passes through the point , so we can substitute these values into the point-slope form: Simplifying this equation, we get: Finally, rearranging the equation to slope-intercept form, we have: Therefore, the equation of line u is .