# GMAT Math : Calculating the slope of a line

## Example Questions

2 Next →

### Example Question #91 : Coordinate Geometry

Fill in the circle with a number so that the graph of the resulting equation has slope :

None of the other responses is correct.

Explanation:

Let  be that missing coefficient. Then the equation can be rewritten as

Put the equation in slope-intercept form:

The coefficient of  is the slope, so solve for  in the equation

### Example Question #92 : Coordinate Geometry

Fill in the circle with a number so that the graph of the resulting equation has slope 4:

Explanation:

Let  be that missing coefficient. Then the equation can be rewritten as

Put the equation in slope-intercept form:

The coefficient of  is the slope, so solve for  in the equation

### Example Question #93 : Coordinate Geometry

Examine these two equations.

Write a number in the box so that the lines of the two equations will have the same slope.

Explanation:

Write the first equation in slope-intercept form:

The coefficient of , which here is , is the slope of the line.

Now, let  be the nuimber in the box, and rewrite the second equation as

Write in slope-intercept form:

The slope is , which is set to :

### Example Question #94 : Coordinate Geometry

Fill in the circle with a number so that the graph of the resulting equation is a horizontal line:

is the only number that works.

The graph cannot be a horizontal line no matter what number is written.

is the only number that works.

is the only number that works.

The graph is a horizontal line no matter what number is written.

The graph cannot be a horizontal line no matter what number is written.

Explanation:

The equation of a horizontal line takes the form  for some value of . Regardless of what is written, the equation cannot take this form.

### Example Question #95 : Coordinate Geometry

Fill in the square and the circle with two numbers so that the line of resulting equation has slope :

in the square and  in the circle

in the square and  in the circle

None of the other responses is correct.

in the square and  in the circle

in the square and  in the circle

in the square and  in the circle

Explanation:

Let  and  be those missing numbers. Then the equation can be rewritten as

Put the equation in slope-intercept form:

The coefficient of  is the slope, so solve for  in the equation

The number in the circle is irrelevant, so the correct choice is that  goes in the square and  goes in the circle.

### Example Question #96 : Coordinate Geometry

Fill in the circle with a number so that the graph of the resulting equation has slope 4:

It is impossible to do this.

It is impossible to do this.

Explanation:

Once a number is filled in, the equation will be in slope-intercept form

,

so the coefficient of  will be the slope of the line of the equation. Regardless of the number that is written in the circle, this coefficient, and the slope, will be 6, so the slope cannot be 4.

### Example Question #97 : Coordinate Geometry

Consider segment  which passes through the points  and .

What is the slope of ?