Question

Find the shortest distance from the given point to the given line show and explain all word using correct geometry vocabulary.

Given point: (3,-3).

Given line: 3x+4y=12. Find slope,intercept, x and y

Answer 1

Explanation:

4y=12-3x

y=3-(3/4x)

slope=3/4

y intercept is

b=3

for x intercept put y=0

3x=12

x=4 so x intercept is 4

distance = ax1+by1+c/a^2+b^2

(9-12-12)/25

15/25 bcz of absolute in the numerator 15 is positive