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How to Convert Point-Slope to Slope-Intercept

A line's equation, also known as a linear equation, can come in many forms. Two of the most common ones are the point-slope and slope-intercept forms. The point-slope form, y -- y-coordinate = m (x -- x-coordinate), gives the slope as "m" and a specified point's coordinates; and the slope-intercept form, y = mx + b, gives the line's slope "m" with where the line crosses the y-axis as b. You can easily convert a linear equation from its point-slope form to its slope-intercept one by working with the equation's terms.

Instructions

- 1
  Write down an equation in point-slope form. For this example, let the equation be y - 3 = 5 (x + 2).
- 2
  Multiply the slope to the expressions within the parentheses. In this example, the equation becomes y - 3 = 5x + 10.
- 3
  Subtract the number on the left side of the equation from both sides to finish the conversion to slope-intercept form. Concluding this example, subtracting -3 from each side of the equation results in y - 3 + 3 = 5x + 10 + 3, since adding a positive number is the same as subtracting a negative one, which then becomes y = 5x + 13.

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