# What is the equation of a line that satisfies the given conditions: perpendicular to #y= -2x + 5# and passing through (4, -10)?

##### 1 Answer

Dec 6, 2015

#### Explanation:

Perpendicular lines have opposite reciprocal slopes.

The slope of the line

The opposite reciprocal of

We also know that the line passes through the point

We can use the

We know that:

And we want to solve for

The equation of the line is