To find the equation of line u parallel to line t with the given point (8,10), we use the point-slope form and deduce the equation y = ½x + 6 in slope-intercept form.
The student question involves finding the equation of line u, which is parallel to line t. The equation for line t seems to have a typo; assuming it should be y = ½(x - 7) + 8, we can extract the slope of t as ½. Since line u is parallel to t, it will have the same slope, ½. The point (8,10) lies on line u, so to find its equation in slope-intercept form, we use the point-slope form y - y1 = m(x - x1), which gives us y - 10 = ½(x - 8). Simplify this to y = ½x + 6, which is in slope-intercept form y = mx + b where m is the slope and b is the y-intercept.
The answer is y = ½x + 6.