Question

Write an equation of the line passing through point P(0, 0) that is perpendicular to the line y=-9x-1.

Graph the equations of the lines to check that they are perpendicular.

Answer 1

Answer:
`y=(1)/(9)x`

Explanation:

Perpendicular lines have negative reciprocal slopes, so the slope of the line we want to find is 1/9.

Since the y-intercept is 0, the equation is
`y=(1)/(9)x`.

You can graph the lines on a website like Desmos.