# GED Math : Standard Form

## Example Questions

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### Example Question #1 : Standard Form

Which of the following is an example of an equation of a line written in standard form?

Explanation:

The standard form of a line is , where all constants are integers, i.e. whole numbers.

Therefore, the equation written in standard form is .

### Example Question #2 : Standard Form

Refer to the above red line. What is its equation in standard form?

Explanation:

First, we need to find the slope of the above line.

Given two points, , the slope can be calculated using the following formula:

Set :

Second, we note that the -intercept is the point

Therefore, in the slope-intercept form of a line, we can set  and :

Since we are looking for standard form - that is,  - we do the following:

or

### Example Question #3 : Standard Form

Write the following equation in standard form:

Explanation:

Standard form of an equation is

.

Rearrange the given equation to make it look like the above equation as follows:

### Example Question #4 : Standard Form

Rewrite the following equation in standard form.

Explanation:

The standard form of a line is , where are integers.

We therefore need to rewrite so it looks like .

The steps to do this are below:

### Example Question #5 : Standard Form

Rewrite the equation in standard form:

Explanation:

To rewrite in standard form, we will need the equation in the form of:

Subtract  on both sides.

Regroup the variables on the left, and simplify the right.

### Example Question #6 : Standard Form

Rewrite the equation in standard form.

Explanation:

The given equation is in point-slope form.

The standard form is:

Distribute the right side.

Subtract  on both sides.

### Example Question #7 : Standard Form

Rewrite the equation in standard form:

Explanation:

The standard form of a linear equation is:

Reorganize the terms.

Subtract  on both sides.

Subtract four on both sides.

### Example Question #8 : Standard Form

Given the slope of a line is  and a point is , write the equation in standard form.

Explanation:

Write the slope-intercept form of a linear equation.

Substitute the point and the slope.

Solve for the y-intercept, and then write the equation of the line.

The equation in standard form is:

Subtract  from both sides.

### Example Question #9 : Standard Form

Which of the following is NOT in standard form?

Explanation:

The equation in standard form of a linear equation is:

The equation in standard form of a parabolic equation is:

All of the following equations are in standard form except:

This equation is in point-slope format:

### Example Question #10 : Standard Form

Write the following equation in standard form.

Explanation:

The standard form of a linear equation is:

Distribute the right side.

Subtract  on both sides.