Question

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

Answer 1

Answer:

The equation of the line is $y = -\frac{x}{4} - 3$

Step-by-step 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:

$4m = -1$

$m = -\frac{1}{4}$

So

$y = -\frac{x}{4} + b$

Through (0, -3)

This means that $b = -3$

So

$y = -\frac{x}{4} - 3$