SOLUTION: Find the equation for the line that passes through the point (2,4), and that is parallel to the line with the equation y=1/2×-3/2

Algebra ->  Test -> SOLUTION: Find the equation for the line that passes through the point (2,4), and that is parallel to the line with the equation y=1/2×-3/2      Log On


   

Question 759873: Find the equation for the line that passes through the point (2,4), and that is parallel to the line with the equation y=1/2×-3/2
Found 2 solutions by josmiceli, tommyt3rd:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The line will have the same slope as +y+=+%281%2F2%29%2Ax+-+3%2F2+
so, the slope will be +1%2F2+
The line passes through ( 2,4 )
I can write the general point-slope formula:
+%28+y+-+4+%29+%2F+%28+x+-+2+%29+=+1%2F2+
+2%2A%28+y+-+4+%29+=+x+-+2+
+2y+-+8+=+x+-+2+
+2y+=+x+%2B+6+
+y+=+%281%2F2%29%2Ax+%2B+3+
------------------
check:
The slope is +1%2F2+
OK
Does it go through ( 2,4 ) ?
+y+=+%281%2F2%29%2Ax+%2B+3+
+4+=+%281%2F2%29%2A2+%2B+3+
+4+=+1+%2B+3+
+4+=+4+
OK

Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
Slopes are the same because they are parallel.
Point-Slope form:
%0D%0Ay-4=%281%2F2%29%28x-2%29%0D%0A