# GMAT Math : DSQ: Graphing a line

## Example Questions

### Example Question #46 : Coordinate Geometry

Graph a line, if possible.

Statement 1: The slope is 4.

Statement 2: The y-intercept is 4.

Explanation:

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 #47 : Coordinate Geometry

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.

Statement II is sufficient to answer the question, but Statement I is not sufficient to answer the question.

Both statements are needed to answer the question.

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.

Explanation:

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 :

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