Do all direct proportional graphs need to start from the origin?
1 answer:
Answer:
Direct proportional graphs <u>do not</u> need to start from the origin.
Step-by-step explanation:
Direct proportional graphs do not need to start from the origin. However, <u><em>all </em></u>direct proportional graphs <u>must</u><u> </u><u>go through</u> the origin.
Regardless of the value of the <u>constant of proportionality</u>, <em>k</em>, the graph of the lines all go through the point of origin, (0, 0).
As a proof, the attached screenshot shows the graph of three equations of direct variations. The graphed direct variation equations, y = 2x, y = -2x, and y = ¼x all <u>go through the point of origin.</u>
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9514 1404 393
Answer:
b) x < -4
Step-by-step explanation:
Eliminate parentheses and you have ...
4x +4 > 16 +7x
-12 > 3x . . . . . . . . subtract 4x+16
-4 > x . . . . . . . . divide by 3
The number line will have an <em>open circle</em> at -4 and be shaded to the <em>left</em>. The pictures are a bit fuzzy, but we think choice B has that description.
Answer:
7(x)=5x+7
to find the x / zero intercept, plug in f (x) = 0
0=5x+7
move the left side and change the sign
-5x7
divide both of the equation by -5
x=
same steps for g(x)=-2x-4
x=-2