Question

Fine the equation of the line through (o, -3) perpendicular to y =4x+4​

Answer 1

The equation of the line is
`y = -(x)/(4) - 3`

Explanation:

Equation of a line:

The equation of a line has the following format:

`y = mx + b`

In which m is the slope and b is the y-intercept(the value of y when x = 0).

Perpendicular lines:

If two lines are perpendicular, the multiplication of their slopes is -1.

Line perpendicular to y = 4x + 4.

This line has slope 4, so our line will have slope:

`4m = -1`

`m = -(1)/(4)`

So

`y = -(x)/(4) + b`

Through (0, -3)

This means that
`b = -3`

So

`y = -(x)/(4) - 3`