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the equation for line t can be written as y=4x- 8 . line u, which is perpendicular to line t, includes the point (8,8) . what is the

Question

The equation for line t can be written as y=4x- 8 . Line u, which is perpendicular to line t, includes the point (8,8) . What is the equation of line u? Write the equation in tercept form . Write the numbers ; in the equation as simplified proper fractions , improper fractions, or integers. square

Solution

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Teresa Mestre · Tutor por 5 anos

Resposta

To find the equation of line u, we need to determine its slope and y-intercept.Step 1: Find the slope of line t.The equation of line t is given as . The slope of a line in the form is represented by the coefficient of x, which is 4 in this case.Step 2: Determine the slope of line u.Since line u is perpendicular to line t, the slopes of line u and line t are negative reciprocals of each other. Therefore, the slope of line u is .Step 3: Use the point-slope form to find the equation of line u.The point-slope form of a line is given by , where is a point on the line and m is the slope. We are given that line u passes through the point , so we can substitute these values into the point-slope form: Step 4: Simplify the equation.To write the equation in intercept form, we need to solve for y: Therefore, the equation of line u in intercept form is .