On a line

On a line p : 3 x - 4 y - 3 = 0, determine the point C equidistant from points A[4, 4] and B[7, 1].

Correct answer:

x =  9
y =  6

Step-by-step explanation:

3x4y3=0  x=(3+4y)/3 y=(3x3)/4 AC=BC  (x4)2+(y4)2=(x7)2+(y1)2  (x4)2+((3x3)/44)2=(x7)2+((3x3)/41)2 1.5x=13.5 23x=227 3x=27 x=27/3=9
y=(3x3)/4=(3 93)/4=6

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Tips to related online calculators
Line slope calculator is helpful for basic calculations in analytic geometry. The coordinates of two points in the plane calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of the segment, intersections of the coordinate axes, etc.
Looking for help with calculating roots of a quadratic equation?
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?
Pythagorean theorem is the base for the right triangle calculator.

We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: