Question

Write the equation of the line that passes through the point P(0.0) and is perpendicular to the line y=-4x+5. Ο Α. y=* OB y=-* O C. y=5x D. y=4x o E. y = x+5

Answer 1

The equation of the line is

`y=(1)/(4)x`

Step-by-step explanation:

Given the equation:

y = -4x + 5 ...................................................................(1)

the slope of this line is -4

Two lines are perpendicular if the product of their slopes is -1

Let m be the slope of the line perpendicular to equation (1)

Then

-4 × m = -1

-4m = -1

Divide both sides by -4

m = 1/4

Given:

`(x_1,y_1)=(0,0)`

The equation of the line is:

y - 0 = (1/4)(x - 0)

y = (1/4)x