How can I reduce 60/1000 into simplest form?
2 answers:
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9514 1404 393
Answer:
- y-intercept: (0, 6)
- x-intercept: (3, 0)
Step-by-step explanation:
In this form, it is not difficult to find the intercepts. Eliminate the term that has a zero value, and divide by the coefficient in the other term.
Y-intercept:
for x = 0, the equation is ...
-3y = -18
y = 6 . . . . . . divide by -3
__
X-intercept:
for y = 0, the equation is ...
-6x = -18
x = 3 . . . . . divide by -6
_____
<u>Solid vs Dashed</u>
The boundary of the shaded area is a solid line through these points. (It is solid because the symbol ≤ includes the "or equal to" case, meaning that points equal to those on the line are in the solution set.)
<u>Above vs Below</u>
The negative signs can make it a little tricky to figure out the shading. If we multiply the equation by -1, we get ...
6x +3y ≥ 18 . . . . . note the reversal of the comparison symbol
Now, both x and y have positive coefficients. The solution form ...
ky ≥ ( ) . . . . for positive k indicates shading <em>above</em> the line
kx ≥ ( ) . . . . for positive k indicates shading <em>to the right</em> of the line
The boundary line has negative slope, so "above" and "to the right" are both on the same side of the line (a good check of the answer).
