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
4.6
(293 Votos)
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
.