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Question 468143: Hopelessly stuck on a problem, any help would be appreciated!
Problem - Produce a graph of the line given the equation: 1/4x - 3/5y = 12
Here's what I've worked out so far:
- 3/5y = 12 - 1/4x
y = 12 - 1/4x * - 5/3
y = 12 + 5x/12
I don't know if i've made a mistake to this point but from here I've tried using a table to find the points to graph but I'm not coming up with anything that makes sense.
Answer by scott8148(6628)   (Show Source):
You can put this solution on YOUR website! solving for y (as you've done) puts the equation into the slope-intercept form (y = mx + b)
___ remember, the -5/3 is distributed to both terms on the right side ___ y = (5/12)x - 20
m, the coefficient of the x-term (5/12 in this case) is the slope of the line
___ for every 12 units increase in x, y increases 5 units (this also works with decreasing steps)
b, the constant term (-20 in this case) is the y-intercept (the point on the y-axis where the line crosses)
to graph the line, use the intercept as the starting point and move the proper distances in the x and y directions
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