Answer:
The points of the graph form a straight line, and the line must pass
through the origin ⇒ answer d
Step-by-step explanation:
* Lets explain the meaning of vary directly
- Direct variation is a relationship between two variables
- Two variable quantities have a constant ratio
- One of them equal the other multiplied by a constant
- If y varies directly with x, the y = kx, where k is the constant
of variation
- The equation y = kx is represented graphically by a line
- If the value of x = 0 then the value of y must be equal zero, then <u><em>the </em></u>
<em> </em><u><em>line which represented the direct variation must be passes through </em></u>
<em> </em><u><em>the origin</em></u>
* Lets look to the answer to find the correct statement
a. The graph is a curve ⇒ Not true ⇒The graph must be line
b. The graph increases from left to right ⇒ Not true ⇒ maybe if the
graph is a line there is no mention about the type of the graph
c. The points on the graph are connected ⇒ Not true ⇒ there is no
mention about the type of the graph
d. <u><em>The points of the graph form a straight line, and the line must pass</em></u>
<em> </em><u><em>through the origin</em></u> ⇒ <em>True</em> ⇒ as we said above
* <em>The answer is statement d</em>
