### All GRE Subject Test: Math Resources

## Example Questions

### Example Question #42 : Coordinate Geometry

What is the equation of the line (in slope-intercept form) that goes through the points: and ?

**Possible Answers:**

**Correct answer:**

Step 1: Find the slope between the two points:

Step 2: Write the slope-intercept form:

Step 3. Find b. Plug in (x,y) from one of the points:

Step 4: Write out the full equation:

### Example Question #43 : Coordinate Geometry

What is the equation of a line that passes through points and in slope-intercept form?

**Possible Answers:**

**Correct answer:**

To find the equation of the line, first find the slope using the formula:

The points that the line passes through are and .

Then pick one set of points and place in the form . Either set of points will give you the same equation. Points were used.

Subtract from both sides of the equation.

The equation of the line in slope-intercept form or is

### Example Question #44 : Coordinate Geometry

Find the equation of a line in slope-intercept form that passes though points and .

**Possible Answers:**

**Correct answer:**

To find the equation of a line that passes through and , first find the slope using this formula:

Using one set of points or coordinates and the value of slope, plug these values into:

Either set of points will give you the same equation of the line.

Coordinates .

Distribute the to what is inside the parenthesis.

Add to both sides of the equation.

The equation of the line in slope-intercept form is:

### Example Question #45 : Coordinate Geometry

A line has a slope of and goes through point What is the equation of the line in slope-intercept form?

**Possible Answers:**

**Correct answer:**

The slope-intercept form is , where represents the slope, and represent the points, and is the y-intercept or the value of when

The slope or has been given as .

The points that this equation of the line passes through are and

because based on the points, when That is the y-intercept.

The equation of the line in slope-intercept form is:

### Example Question #46 : Coordinate Geometry

Find the equation of a line in slope-intercept form that passes through points and has a slope of

**Possible Answers:**

**Correct answer:**

To find the equation of a line given points and use the point- slope formula:

Distribute the to what is inside the parenthesis.

Subtract from both sides of the equation.

When the sign is the same for both integers, add.

The equation of the line in slope-intercept form is:

### Example Question #47 : Coordinate Geometry

Find the equation of the line with points

**Possible Answers:**

**Correct answer:**

To solve for you must use the equation

To solve for be we must plug in one of the points

simplify

Add to both sides

### Example Question #48 : Coordinate Geometry

Find a line through the point perpendicular to the line .

**Possible Answers:**

**Correct answer:**

To solve this problem you must first find the slope of the original equation by point it into y-mx+b form

subtract x from both sides

Then you must find the reciprocal of the slope to get the slope of the perpendicular line

reciprocal is

Finally you must you point-slope form to solve

Multiply through the parentheses

add three to both sides

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