Question

- Write two equations in slope intercept form that are PERPENDICULAR.

Answer 1

For two lines to be perpendicular, the multiplication of their slopes must be equal to -1. Then, two equations in slope-intercept form that are perpendicular could be:

The slope-intercept form is represented as:

`y=mx+b`

Where m is the slope and b is the y-intercept.

`y=-(4)/(5)x+3,y=(5)/(4)x+3`

We have that the product of their slopes is:

`m_1=-(4)/(5),m_2=(5)/(4)\Rightarrow m_(1\cdot)m_2=-(4)/(5)\cdot(5)/(4)=-1`

Thus, these lines are perpendicular and are in the form of a slope-intercept form.

They also have the same y-intercept (y = 3)