Which graph corresponds to the following equations?
Which graph corresponds to the following equations?
To solve this problem, let's rewrite each equation in the slope-intercept form.
First, simplify this equation:
Dividing the entire equation by 6 gives:
Rearranging this equation to solve for :
The slope of this line is , and the y-intercept is .
Simplify this equation:
This simplifies to:
Multiply through by 3 to solve for :
Thus, is a vertical line through .
Now, comparing against the choices, while analyzing the slopes and intercepts:
The correct graph corresponds to lines: and .
In the provided options, Choice 1 matches this description, as it contains a line with slope and another vertical line.
Therefore, the graph corresponding to the given equations is Choice 1.