Question

Write an equation of the line through the point (-3,-8) and perpendicular to the line x = -7.

Answer 1

The slope of the x = - 7 equals infinite...

We know that the slopes of the perpendicular lines are inverse and symmetrical to each other ;

So ;

`(slope) * \infty = - 1`

`slope = - (1)/( \infty ) \\`

`slope = 0`

This the slope of the line.....

_________________________________

We have following equation to find the line :

`y - y(through \: point) = (slope) * ( \: x - x(t \:p) \: ) \\`

Now just need to put the coordinates and the slope ;

Look :

`y - ( - 8) = 0 * (x - ( - 3))`

`y + 8 = 0`

`y = - 8`

And we're done....

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️