# ISEE Middle Level Quantitative : How to find a line on a coordinate plane

## Example Questions

### Example Question #1 : Coordinate Geometry

Give the equation of the line through point  that has slope .

Explanation:

Use the point-slope formula with

### Example Question #2 : How To Find A Line On A Coordinate Plane

Which is the greater quantity?

(A) The slope of the line

(B) The slope of the line

(A) is greater

It is impossible to determine which is greater from the information given

(A) and (B) are equal

(B) is greater

(A) is greater

Explanation:

Rewrite each in the slope-intercept form,  will be the slope.

The slope of this line is .

The slope of this line is .

Since , (A) is greater.

### Example Question #1 : Geometry

Which is the greater quantity?

(A) The slope of the line

(B) The slope of the line

(A) is greater

(A) and (B) are equal

(B) is greater

It is impossible to determine which is greater from the information given

(A) and (B) are equal

Explanation:

Rewrite each in the slope-intercept form,  will be the slope.

The slope of the line of  is

The slope of the line of  is also

The slopes are equal.

### Example Question #1 : How To Find A Line On A Coordinate Plane

and  are positive integers, and . Which is the greater quantity?

(a) The slope of the line on the coordinate plane through the points  and .

(b) The slope of the line on the coordinate plane through the points  and .

(a) and (b) are equal

(a) is the greater quantity

It is impossible to determine which is greater from the information given

(b) is the greater quantity

(a) and (b) are equal

Explanation:

The slope of a line through the points  and  can be found by setting

in the slope formula:

The slope of a line through the points  and  can be found similarly:

The lines have the same slope.

### Example Question #1 : Coordinate Geometry

A line passes through the points with coordinates  and , where . Which expression is equal to the slope of the line?