SOLUTION: Write the equation of the line with slope -1/2 and y-intercept (0, 3). Then graph the line. I need help with this graphing equation. Thanks

Algebra ->  Graphs -> SOLUTION: Write the equation of the line with slope -1/2 and y-intercept (0, 3). Then graph the line. I need help with this graphing equation. Thanks      Log On


   

Question 68744: Write the equation of the line with slope -1/2 and y-intercept (0, 3). Then graph the line.
I need help with this graphing equation. Thanks
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Writing the equation in the slope-intercept form y+=+mx%2Bb will give you:
y+=+%28-1%2F2%29x%2B3
The graph can be produced by finding two points that are solutions to the equation. The simplest way is to first let x = 0 and solve for y to get the coordinates of the first point (the y-intercept) then do the same thing in reverse, let y = 0 and solve for x to get the coordinates of the second point (the x-intercept).
Let x = 0
y+=+%28-1%2F2%29%280%29%2B3 Simplify.
y+=+3
The first point is (0, 3)
Ley y = 0
0+=+%28-1%2F2%29x%2B3 Simplify. Subtract 3 from both sides.
-3+=+%28-1%2F2%29x Multiply both sides by -2.
6+=+x
The second point is (6, 0)
Now you would plot these two points on your coordinate graph paper after having drawn the x-axis and the y-axis, then connect the two points with a straight line and you're done! It should look like the graph below:
graph%28300%2C200%2C-5%2C8%2C-5%2C5%2C%28-1%2F2%29x%2B3%29