SOLUTION: The graph of f passes through (-9, 4) and is perpendicular to the line that has an x-intercept of 6 and a y-intercept of -24. The slope-intercept form is y = ????

Algebra ->  Linear-equations -> SOLUTION: The graph of f passes through (-9, 4) and is perpendicular to the line that has an x-intercept of 6 and a y-intercept of -24. The slope-intercept form is y = ????      Log On


   

Question 997042: The graph of f passes through (-9, 4) and is perpendicular to the line that has an x-intercept of 6 and a y-intercept of -24.
The slope-intercept form is y = ????
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
An x-intercept of 6 and a y-intercept of -24
These are the points ( 6,0 ) and ( 0, -24 )
The slope is [ change in y ] / [ change in x ]
+%28+0+-%28-24%29+%29+%2F+%28+6+-+0+%29+=+24%2F6+
+24%2F6+=+4+
+m+=+4+
--------------
Any line perpendicular to this line will
have slope = +-1%2Fm+=+-1%2F4+
---------------------------
Given the point ( -9,4 ), use the general
point-slope formula
+%28+y+-+4+%29+%2F+%28+x+-%28-9%29+%29+=+-1%2F4+
+y+-+4+=+%28+-1%2F4%29%2A%28+x+%2B+9+%29+
+y+=+%28-1%2F4%29%2Ax+-+9%2F4+%2B+16%2F4+
+y+=+%28-1%2F4%29%2Ax+%2B+7%2F4+
----------------------
check answer:
Does it go through ( -9,4 ) ?
+y+=+%28-1%2F4%29%2Ax+%2B+7%2F4+
+4+=+%28-1%2F4%29%2A%28-9%29+%2B+7%2F4+
+16+=+9+%2B+7+
+16+=+16+
OK
Here are plots of the lines:
+graph%28+400%2C+400%2C+-16%2C+16%2C+-16%2C+16%2C+4x+-+24%2C+%28-1%2F4%29%2Ax+%2B+7%2F4+%29+