SOLUTION: A direct variation equation is an equation in slope-intercept form which describes a line that passes through the origin. Suppose that the points (-45,33) and (k,253) are also on t

Algebra ->  Coordinate-system -> SOLUTION: A direct variation equation is an equation in slope-intercept form which describes a line that passes through the origin. Suppose that the points (-45,33) and (k,253) are also on t      Log On


   

Question 1058469: A direct variation equation is an equation in slope-intercept form which describes a line that passes through the origin. Suppose that the points (-45,33) and (k,253) are also on the line. Write the equation of the line and give the value of k using the equation. NO DECIMALS should appear in your final answers and all fractions need to be simplified. Do not round!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+y+=+m%2Ax+ ( m is the slope )
The line goes through ( 0,0 )
( -45, 33 )
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+m+=+%28+33+-+0+%29+%2F+%28+-45+-+0+%29+
+m+=+-33%2F45+
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+y+=+%28-11%2F15%29%2Ax+
and
+-11%2F15+=+%28+253+-+0+%29+%2F+%28+k+-+0+%29+
+-11%2F15+=+253%2Fk+
+-11k+=+253%2A15+
+-11k+=+3795+
+k+=+-345+