Question

Find the distance from point $A\left(15,-21\right)$ to the line $5x+2y\ =\ 4$ . Round your answer to the nearest tenth.

Answer 1

The distance from point (15,-21) to the line 5x + 2y = 4 is 27.5 units

Given the coordinate (15, -21) and the line 5x + 2y = 4

In order to get the point on the line 5x + 2y =4, we can a point on the line

Let x = 0

5(0) + 2y = 4

2y = 4

y = 2

The point (0, 2) is on the line.

Find the distance between the point (15, -21) and (0, 2) using the distance formula

$D=\sqrt{(2+21)^2+(0-15)^2} \\D=\sqrt{23^2+15^2}\\D=\sqrt{754}\\D= 27.46units$

Hence the distance from point (15,-21) to the line 5x + 2y = 4 is 27.5 units

Learn more here: brainly.com/question/22624745