SOLUTION: Can you help me with this question. Write the equation of the line that passes through each pair of points in the slope- intercept form. (-5,-4) and (15,0)

Algebra ->  Equations -> SOLUTION: Can you help me with this question. Write the equation of the line that passes through each pair of points in the slope- intercept form. (-5,-4) and (15,0)       Log On


   

Question 697804: Can you help me with this question.
Write the equation of the line that passes through each pair of points in the slope- intercept form. (-5,-4) and (15,0)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Use the general point-slope formula
( y - y[1] ) / ( x - x[1] ) = ( y[2] - y[1] ) / ( x[2] - x[1] )
where
( x[1] , y[1] ) = ( -5, -4 )
( x[2], y[2] ) = ( 15, 0 )
+%28+y+-%28-4%29+%29+%2F+%28+x+-%28-5%29+%29+=+%28+0+-%28-4%29+%29+%2F+%28+15+-%28-5%29+%29+
+%28+y+%2B+4+%29+%2F+%28+x+%2B+5+%29+=+4+%2F+20+
+%28+y+%2B+4+%29+%2F+%28+x+%2B+5+%29+=+1%2F5+
Multiply both sides by +%28+x%2B5+%29%2A5+
+5%2A%28+y+%2B+4+%29+=+x+%2B+5+
+5y+%2B+20+=+x+%2B+5+
+5y+=+x+-+15+
+y+=+%281%2F5%29%2Ax+-+3+ answer
-----------------
check:
Does it go through ( -5,-4 ) ?
+y+=+%281%2F5%29%2Ax+-+3+
+-4+=+%281%2F5%29%2A%28-5%29+-+3+
+-4+=+-1+-+3+
+-4+=+-4+
Does it go through ( 15,0 )?
+0+=+%281%2F5%29%2A15+-+3+
+0+=+3+-+3+
+0+=+0+
OK