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Example Questions
Example Question #681 : Data Sufficiency Questions
Graph a line, if possible.
Statement 1: The slope is 4.
Statement 2: The y-intercept is 4.
Statement 1): The slope is 4.
Write the slope-intercept form, and substitute the slope.
The point and the y-intercept are unknown. Either of these will be needed to solve for the graph of this line.
Statement 1) by itself is not sufficient to graph a line.
Statement 2): The y-intercept is 4.
Substitute the y-intercept into the incomplete formula.
The function can then be graphed on the x-y coordinate plane.
Therefore:
Example Question #1 : Dsq: Graphing A Line
Find the graph of .
I) is a linear equation which passes through the point .
II) crosses the y-axis at 1300.
Either statement is sufficient to answer the question.
Both statements are needed to answer the question.
Statement II is sufficient to answer the question, but Statement I is not sufficient to answer the question.
Neither statement is sufficient to answer the question. More information is needed.
Statement I is sufficient to answer the question, but Statement II is not sufficient to answer the question.
Both statements are needed to answer the question.
Find the graph of .
I) is a linear equation which passes through the point .
II) crosses the y-axis at 1300.
To graph a linear equation, we need some combination of slope, y-intercept, or two points.
Statement I tells us is linear and gives us one point.
Statement II gives us the y-intercept of .
We can use Statement I and Statement II to find the slope of . Then, we can plot the given points and continue the line in either direction to get our graph.
Slope:
Plugging in the provided value of , 1300, we have the equation of the line :