1 Answer | Add Yours
To calculate the distance from the point R(4,5) to the line `y=-1/2x-3` , we need to find the perpendicular line that intersects R and the line `y=-1/2x-3` . This intersection happens at a point, let's call it Q. The slope of `y=-1/2x-3` is `-1/2` , so the slope of RQ is 2. We can use this with R to find the equation of RQ.
So the equation of the line RQ is `y=2x-3` . Noticing that both the original line `y=-1/2x-3` and `y=2x-3` have the same y-intercept (0,-3). This means that Q is (0,-3), which is the intersection point of the two lines.
The shortest distance from R to the line is the distance from R to Q, which we find using the distance formula:
The distance from R to the line is `4sqrt5` . The graph is:
We’ve answered 334,098 questions. We can answer yours, too.Ask a question