SOLUTION: How do you identify the slope, m, and the y-intercept, b, in 3/4x+2y=-3? Thank you.

Algebra ->  Graphs -> SOLUTION: How do you identify the slope, m, and the y-intercept, b, in 3/4x+2y=-3? Thank you.      Log On


   

Question 155111: How do you identify the slope, m, and the y-intercept, b, in 3/4x+2y=-3? Thank you.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
I believe your equation is:
+%283%2F4%29x+%2B+2y+=+-3+
.
Start by manipulating the equation to make it look like the "slope-intercept" form of a line:
y = mx + b
where
m is the slope
b is the y-intercept at (0,b)
.
+%283%2F4%29x+%2B+2y+=+-3+
Start by multiplying both sides by 4:
+3x+%2B+8y+=+-12+
Now, subtract 3x from both sides:
+8y+=+-3x+-+12+
Finally, divide both sides by 8:
+y+=+%28-3%2F8%29x+-+%2812%2F8%29+
+y+=+%28-3%2F8%29x+-+%283%2F2%29+
.
From the above, we now have:
m (slope) = -3/8
b (y-intercept) = -3/2