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 slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers. ______

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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 equation of line u? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.   ______

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Determine slope of line t: Determine the slope of line t. The equation of line t is given as y = 4x - 8. The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. Comparing the given equation with the slope-intercept form, we find that the slope (m) of line t is 4.Find slope of line u: Find the slope of line u. Since line u is perpendicular to line t, its slope will be the negative reciprocal of the slope of line t. The negative reciprocal of 4 is -1/4. Therefore, the slope of line u is -1/4.Use point-slope form: Use the point-slope form to find the equation of line u. We have the slope of line u (-1/4) and a point through which it passes (8,8). The point-slope form of a line is y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point on the line. Plugging in the values, we get y - 8 = -1/4(x - 8).Simplify to slope-intercept form: Simplify the equation to slope-intercept form. Starting with y - 8 = -1/4(x - 8), we distribute the slope on the right side to get y - 8 = -1/4x + 2. Then, we add 8 to both sides to solve for y, resulting in y = -1/4x + 2 + 8. Simplifying further, we get y = -1/4x + 10.

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 $u$ ? $\newline$ Write the equation in slope-intercept form.

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The equation for line ttt can be written as y=4x−8y = 4x - 8y=4x−8. Line uuu, which is perpendicular to line ttt, includes the point (8,8)(8,8)(8,8). What is the equation of line uuu? \newlineWrite the equation in slope-intercept form.

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 $u$ ? $\newline$ Write the equation in slope-intercept form.