SOLUTION: Given the information, find the equation of the line in slope-intercept form and standard form. Contains point (-3,5) and is perpendicular to 2x+3y=7

Algebra ->  Linear-equations -> SOLUTION: Given the information, find the equation of the line in slope-intercept form and standard form. Contains point (-3,5) and is perpendicular to 2x+3y=7      Log On


   

Question 345263: Given the information, find the equation of the line in slope-intercept form and standard form.
Contains point (-3,5) and is perpendicular to 2x+3y=7
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(-3,5) and is perpendicular to
2x+3y=7
3Y=-2X+7
Y=2X/3+7/3 THIS LINE HAS A SLOPE=2/3. (red line)
A PERPENDICULAR LINE WILL HAVE A SLOPE=-3/2 (THE NEGATIVE RECIPRICAL).
Y=mX+b
5=-3/2*-3+b
5=-9/2+b
b=5+9/2
b=5+4.5=9.5 the Y intercept
Y=-3x/2+9.5 is this line equation. (green line)
+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+2x%2F3+%2B7%2F3%2C+-3x%2F2+%2B9.5+%29+ (graph 300x300 pixels, x from -10 to 10, y from -10 to 10, of TWO functions 2x/3 +7/3 and -3x/2 +9.5).