Question 368730: What are the x and y intercepts of the graph 4x - 7y = 14? Can you show me step by step how you solved this?
Found 2 solutions by neatmath, rfer:
Answer by neatmath(302)   (Show Source):
You can put this solution on YOUR website! It is fairly simple to find the x and y intercepts of a line.
To find the y intercept, just set x equal to zero and solve for y!
4(0)-7y=14
-7y=14
y=-2
Thus the y intercept is -2, or more precisely, the point (0,-2)
You might have guessed by now,
to find the x intercept, just set y equal to zero and solve for x!
4x-7(0)=14
4x=14
x=7/2
Thus the x intercept is 7/2, or more precisely, the point (7/2,0)
The easiest way to find the y intercept is to put the equation into slope intercept form or y=mx+b where m is the slope of the line and b is the y intercept!
Thus,
4x-7y=14
4x-14=7y
7y=4x-14
y=4/7(x)-2
Notice how we get the b to end up equaling -2, which is exactly what we figured out above!
By the same token, we also now know the slope of the line, 4/7.
I hope this helps!
Answer by rfer(16322)  (Show Source):
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