Question

How do i find the distance from one point to the line with a slope that passes through another point

Answer 1

To calculate the distance from a point to a line, write the line's equation in point-slope form, convert it to standard form, and use the distance formula with the line's coefficients and the point's coordinates.

Step-by-step explanation:

To find the distance from a point to a line with a given slope that passes through another point, you need to follow a series of steps. First, ensure you have the slope of the line and the coordinates of both the point through which the line passes and the point from which you are finding the distance.

1. Write down the equation of the line using the point-slope form, which is y - y1 = m(x - x1) where (x1, y1) is the point the line passes through and m is the slope.
2. Convert this equation to the standard form Ax + By = C.
3. Use the formula for the distance from a point (x0, y0) to a line Ax + By = C, which is d = |Ax0 + By0 - C| / √(A^2 + B^2).

Plug in the coordinates of your point and the A, B, and C from the line's equation to find the distance.