SOLUTION: The book is asking me to match a graph to an equation. How do I take y-4=-(3/2)(x+1) and read it as a graph? I see a graph that has a point at the coordinates (1,-4) and a differen

Algebra ->  Graphs -> SOLUTION: The book is asking me to match a graph to an equation. How do I take y-4=-(3/2)(x+1) and read it as a graph? I see a graph that has a point at the coordinates (1,-4) and a differen      Log On


   

Question 55397: The book is asking me to match a graph to an equation. How do I take y-4=-(3/2)(x+1) and read it as a graph? I see a graph that has a point at the coordinates (1,-4) and a different one at (-1,4). Please help!!! Thank you for any help you can provide. Thank you, thank you, and...thank you.
Found 2 solutions by funmath, Cintchr:
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
The book is asking me to match a graph to an equation. How do I take y-4=-(3/2)(x+1) and read it as a graph? I see a graph that has a point at the coordinates (1,-4) and a different one at (-1,4).
y-4=-%283%2F2%29%28x%2B1%29 is in point slope form highlight%28y-y1=m%28x-x1%29%29, where m=slope and (x1,y1) is a point of the graph.
y-highlight%284%29=-%283%2F2%29%28x-highlight%28-1%29%29
Your (x1,y1) is (-1,4), so pick that graph.
Here's what it should look like:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-%283%2F2%29%28x%2B1%29%2B4%29
Happy Calculating!!!

Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
+y-4=-%283%2F2%29%28x%2B1%29+
First, distribute the -3/2 across the (x+1)
+y-4+=+-3x%2F2+-+3%2F2+
Add 4 to both sides
+y+=+-3x%2F2+%2B+5%2F2+
Since neither of your points are intercepts, from here just plug them in and see which one is true
+y+=+-3x%2F2+%2B+5%2F2+
plug in (1,-4)
+-4+=+-3%281%29%2F2+%2B+5%2F2+
+-4+=+-3%2F2+%2B+5%2F2+
+-4+=+2%2F2+
+-4+=+1+
FALSE!!!!

Try the second ordered pair
+y+=+-3x%2F2+%2B+5%2F2+
plug in (-1,4)
+4+=+-3%28-1%29%2F2+%2B+5%2F2+
+4+=+3%2F2+%2B+5%2F2+
+4+=+8%2F2+
+4+=+4+
TRUE!!!
The correct ordered pair is (-1,4)