Question

The equation for line t can be written as y = 4x - 8. Line u, which is perpendicular to line t,

Answer 1

Here, we are required to determine the equation of the line u which is perpendicular to the line t and passes through the point (8,8).

The equation of the line u is;. y = (-x/4) + 10.

First, the product of the slope of 2 perpendicular lines is negative 1 i.e -1.

M1 × M2 = -1

From observation, the slope of line t given by y = 4x - 8 is equal to 4.

• Therefore, since M1 = 4,
• Then, M2 = -1/4

To get the equation of a line,

Slope, M2 = (y - y1)/(x - x1)

where M2 = -1/4 , y1 = 8 and x1 = 8.

Therefore, -1/4 = (y - 8)/(x - 8).

Therefore, -x + 8 = 4y -32

Therefore, 4y = -x + 40.

Ultimately, the equation of the line u is ;

y = (-x/4) + 10.

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