Question

Lines a and b are perpendicular. The equation of line a is y = x + 3. What is the

equation of line b?
Equation of line b
y=
x

Answer 1

`\boxed{y=-x+b}`

Explanation:

If two lines are perpendicular, means that the product of their slopes is equal to -1.

According to the line equation:

`y=mx+b`

`m` is the slope, then, for line A:

`y=x+3`

`m_a=1`

`\implies m_a* m_b=-1\\m_b=-1`

Therefore, the equation of line B will be:

`y=-x+b`

Where 'b' can take any real value, it will only change the height of the line.

Thus we have found the solution to the exercise

`\text{-B$\mathfrak{randon}$VN}`