How Do You Solve a Linear Algebra Slope Problem?

[DethRose]

Hey i have a homework assignment due and have no idea how to answer 1 of the questions

the question is

Find m and recal m perpendicular = -1/m. Also sketch the situation showing what the required distance is.

6y+3x=3 ; (8,-1)

all assistance is much appreciated

thanks

 

[pseudovector]

I think you need to find the distance between the point and the line. The distance is a line coming out of the point and is perpendicular to the first line.

 

[HallsofIvy]

1) To find the slope, m, of 6y+ 3x= 8, solve for y: the equation will be in the form y= mx+ b.

2) Of course, any line perpendicular to that line will have slope
-1/m. What is the equation of a line through (8,-1) with slope
-1/m? (Use the value of m you found in 1).)

3) Where do those two lines cross? Solve the two equations simultaneously.

4. What is the distance from (8, -1) to the point you found in 3)?