Question

Find the distance between the point (2, 3) and the line 4x + 3y = 10 (round your answer to the nearest tenth).

Answer 1

Explanation

Let's first graph the elements:

Using the distance formula we get:

$d=\frac{|4(2)+3(3)-10|}{\sqrt{4^2+3^2}}$$d=\frac{|7|}{\sqrt{25}}=\frac{7}{5}=1.4$