How Do You Find the Slope When an Equation Is in Standard Form?

How Do You Find the Slope When an Equation Is in Standard Form?

To find the slope of a line in standard form, convert the line to slope intercept form. In slope intercept form, y = mx+b, m is the slope.

  1. Write the equation in slope-intercept form

    The first step in finding the slope of a line that is written in standard form is to write the equation in slope-intercept form, y=mx+b. To do this, rearrange the variables. The standard form, Ax + By = C can be rewritten as By = -Ax + C.

  2. Divide by B to simplify

    In the equation By = -Ax + C, B needs to be distributed through the equation. To do this, divide both sides by B. The answer is y = (-A/B)x + C/B.

  3. Find the slope

    Once the equation of the line is in slope-intercept form and is simplified, then the slope equals the term in front of the x variable. In the standard form from step 2, the slope is -A/B.