Question

Find the distance from the point A(2,-1) to the line y=-x+4 Round your answer to the nearest tenth.. The distance is about ___units

Answer 1

The distance from point A(2,-1) to the line y = -x + 4 is approximately 2.5 units.

Step-by-step explanation:

To find the distance from a point to a line, we can use the formula for the distance between a point and a line. The formula is:

distance = |Ax + By + C| / √(A^2 + B^2)

In this case, the equation of the line is y = -x + 4. To find the distance from point A(2,-1) to this line, we substitute the coordinates of the point into the formula:

distance = |(2)(-1) + (-1)(-1) + (-4)| / √((-1)^2 + (-1)^2) = 3.6 / √2 ≈ 2.5

So, the distance from point A to the line y = -x + 4 is approximately 2.5 units.