# 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].

x =  9
y =  6

## Step-by-step explanation:

(x-4)^2+((3x-3)/4-4)^2 = (x-7)^2+((3x-3)/4-1)^2

(x-4)^2+((3·x-3)/4-4)^2 = (x-7)^2+((3·x-3)/4-1)^2

6x = 54

x = 54/6 = 9

x = 9

Our simple equation calculator calculates it.

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

Tips for related online calculators
The 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.
Are you looking for help with calculating roots of a quadratic equation?
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?
The Pythagorean theorem is the base for the right triangle calculator.

### Grade of the word problem:

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