SOLUTION: Find the slope-intercept form of the equations described Write an equation for the line that contains the point (2,2) and is perpendicular to the line 4x + 3y = 4 Graph Both line

Algebra ->  Linear-equations -> SOLUTION: Find the slope-intercept form of the equations described Write an equation for the line that contains the point (2,2) and is perpendicular to the line 4x + 3y = 4 Graph Both line      Log On


   

Question 945566: Find the slope-intercept form of the equations described
Write an equation for the line that contains the point (2,2) and is perpendicular to the line 4x + 3y = 4 Graph Both lines
Please show each step and explain.
Thank you!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Change to slope-intercept form:
+4x+%2B+3y+=+4+
+3y+=+-4x+%2B+4+
+y+=+-%284%2F3%29%2Ax+%2B+4%2F3+
The slope is +m+=+-4%2F3+
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Any line perpendicular to this line
has slope +m%5B1%5D+=+-1%2Fm+
+m%5B1%5D+=+-1%2F%28-4%2F3%29+
+m%5B1%5D+=+3%2F4+
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given: ( 2,2 )
Use the general point-slope formula
+%28+y+-+2+%29+%2F+%28+x+-+2+%29+=+3%2F4+
+y+-+2+=+%28+3%2F4+%29%2A%28+x-2+%29+
+y+=+%283%2F4%29%2Ax+-+3%2F2+%2B+2+
+y+=+%28+3%2F4+%29%2Ax+%2B+1%2F2+
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Here are the plots: