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7th Grade Math

There are six sets of coordinate geometry worksheets:

- Midpoint Formula
- Distance Formula
- Slope Formula
- Standard Form & Slope-Intercept Form
- Parallel Lines
- Perpendicular Lines

Examples, solutions, videos, and worksheets to help grade 7 students learn how to convert between standard form and slope-intercept form.

There are three sets of Standard & Slope-Intercept Forms worksheets:

- Convert from standard form to slope-intercept form
- Convert from slope-intercept form to standard form
- Convert between standard form and slope-intercept form

The slope-intercept form and the standard form are two common ways to express the equations of straight lines in two-dimensional Cartesian coordinates.

- Standard Form (Ax + By = C):
In the standard form, the equation of a line is expressed as:

Ax + By = C

- A, B, and C are constants, typically integers.
- A and B cannot both be zero (otherwise, it would not represent a line).

- Slope-Intercept Form (y = mx + b):
In this form, the equation of a line is expressed as:

y = mx + b

- y and x are variables representing the coordinates of points on the line.
- m is the slope of the line, indicating how steep the line is.
- b is the y-intercept, representing the point where the line crosses the y-axis.

The slope-intercept form is useful for quickly determining the slope and y-intercept of a line, making it easy to graph and interpret.

Converting Between Forms:

You can convert between the slope-intercept form and the standard form.

To convert from standard form to slope-intercept form, you can solve for y in terms of x.

To convert from slope-intercept to standard form, you can multiply both sides of the equation by a common multiple of the denominators to clear the fractions.

Here are examples:

**Standard Form to Slope-Intercept Form:**

2x - 3y = 6

Solve for y in terms of x:

-3y = -2x + 6

Divide by -3:

y = (2/3)x - 2

**Slope-Intercept to Standard Form:**

y = (3/4)x - 2

Multiply both sides by 4 to clear the fraction:

4y = 3x - 8

Rearrange to standard form:

3x - 4y = 8

Have a look at this video if you need to review how to convert from standard form to slope-intercept form.

Have a look at this video if you need to review how to convert from slope-intercept form to standard form.

Click on the following worksheet to get a printable pdf document.

Scroll down the page for more **Standard & Slope-Intercept Forms Worksheets**.

**Printable**

(Answers on the second page.)

Standard & Slope-Intercept Forms Worksheet #1 (standard form to slope-intercept)

Standard & Slope-Intercept Forms Worksheet #2 (slope-intercept to standard form)

Standard & Slope-Intercept Forms Worksheet #3 (convert between both forms)

**Online**

Quadrants of Coordinates

Slope of a Line

Slope and Intercept of a Line

Midpoint Formula 1

Midpoint Formula 2

Distance Formula 1

Distance Formula 2

Standard & Slope-Intercept Forms

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