Question

Find the distance from point A to the given line. A(2,-1), y = -x + 4

a) 3.6 units
b) 4.5 units
c) 2.1 units
d) 5.1 units

Answer 1

The distance from point A to the given line is 3 / √2 units.

Step-by-step explanation:

Mathematics: High School

To find the distance from point A to the given line, we can use the formula for the distance between a point and a line. The formula is d = |Ax + By + C| / √(A^2 + B^2), where (x, y) is the point and the equation of the line is Ax + By + C = 0. In this case, the equation of the line is y = -x + 4. So, A = 1, B = 1, and C = -4. Plugging in the values, we get d = |(1)(2) + (1)(-1) - 4| / √(1^2 + 1^2) = 3 / √2.

Therefore, the distance from point A to the given line is 3 / √2 units.