Given (6, 2), `-3x+4y=-5`
`-3x+4y=-5`
`-3x+4y+5=0`
Let A=-3, B=4, C=5, x1=6, and y1=2
Find the distance between the point and the line using the formula
`d=|Ax_1+By_1+C|/sqrt(A^2+B^2)`
`d=|(-3)(6)+(4)(2)+5|/ [sqrt((-3)^2+(4^2))]`
`d=|-18+8+5|/sqrt(9+16)=5/5=1`
` `
The distance between the point and the line is 1 unit.
No comments:
Post a Comment