The point on the line that is closest to the origin is
Further explanation:
The formula for distance between the two points can be expressed as follows,
Given:
The line is
Explanation:
The coordinate of the origin is
The first point is and the second point is
The distance between the two points can be calculated as follows,
Differentiate the above equation with respect to x.
Substitute the first derivative equal to zero.
Substitute x = - \frac{{10}}{{13}} in equation y=5x+4 to obtain the value of y.
The point on the line that is closest to the origin is
Learn more:
1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Application of derivatives
Keywords: Derivative, attains, maximum, value of x, function, differentiate, minimum value, closest point, line, y=5x+4.