SOLUTION: The line that passes though the point (-4,20 and is perpendicular to the graph of 2x - 3y=9 Find: M= ? Point slope form= ? Slope intercept form= ? Standard form= ?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The line that passes though the point (-4,20 and is perpendicular to the graph of 2x - 3y=9 Find: M= ? Point slope form= ? Slope intercept form= ? Standard form= ?      Log On


   

Question 825623: The line that passes though the point (-4,20 and is perpendicular to the graph of 2x - 3y=9
Find:
M= ?
Point slope form= ?
Slope intercept form= ?
Standard form= ?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Line wanted would be like 3x%2B2y=c, keeping with standard form.

Use the given coordinates of the point: 3%28-4%29%2B2%2820%29=c;
c=40-12
c=28
Standard Form line is then highlight%283x%2B2y=28%29.

Converting to slope-intercept form means solve for y:
2y=-3x%2B28
highlight%28y=-%283%2F2%29x%2B14%29.

Use the definition of slope to find the point-slope form.
highlight_green%28-%283%2F2%29=%28y-20%29%2F%28x-%28-4%29%29%29, and simplify putting into the correct form.