SOLUTION: Using the point-slope form of a line,y-4=-2(x+3)identify the slope. Transform this given equation into slope-intercept form. Graph the line on the grid provided and explain how yo

Algebra ->  Linear-equations -> SOLUTION: Using the point-slope form of a line,y-4=-2(x+3)identify the slope. Transform this given equation into slope-intercept form. Graph the line on the grid provided and explain how yo      Log On


   

Question 696034: Using the point-slope form of a line,y-4=-2(x+3)identify the slope. Transform this given equation into slope-intercept form. Graph the line on the grid provided and explain how you determined your graph.
Found 2 solutions by rfer, josmiceli:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
y-4=-2x-6
y=-2x-2
slope m=-2

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+y+-+4+=+-2%2A%28+x+%2B+3%29+
+%28+y+-+4+%29+%2F+%28+x+%2B+3+%29+=+-2+
This says ( change in y ) / ( change in x ) = slope
The general form is
+%28+y+-+y%5B1%5D+%29+%2F+%28+x+-+x%5B1%5D+%29+=+m+
where m = slope and
( x[1], y[1] ) is a point on the line, so
( -3,4 ) is on the line, and the slope is +-2+
-----------------
+y+-+4+=+-2%2A%28+x+%2B+3%29+
+y+-+4+=+-2x+-+6+
+y+=+-2x+-6+%2B+4+
+y+=+-2x+-+2+
This is in slope-intercept form
check:
Does it go through (-3,4) ?
+4+=+-2%2A%28-3%29+-+2+
+4+=+6+-+2+
+4+=+4+
OK
here's the plot:
+graph%28+400%2C+400%2C+-4%2C+4%2C+-4%2C+4%2C+-2x+-+2+%29+