Home >> Science & Nature >> Science

How to Write an Inequality in Slope Intercept Form With Two Coordinates

Any straight line can be represented by an equation. This equation contains all of the information to then allow you to graph the line on a coordinate plane, consisting of x and y axes. The common form of the equation of a line is called the slope-intercept form, written as y = mx + b. The two coordinates, x and y, define where the line falls on the coordinate plane. You can easily convert any inequality into the slope intercept form, too.

Instructions

- 1
  Write down the inequality. It should look like this: x +/- y (inequality sign) number. For example: 2x + y < 15.
- 2
  Write down the slope-intercept formula, which is: y = mx + b. The letter "m" stands for the slope of the line, while the letter "b" stands for the y intercept. The two coordinates are "x" and "y" and they take on different values along the line.
- 3
  Rearrange the original inequality into the slope-intercept form. For example, 2x + y < 15 will become y < -2x + 15. The inequality sign takes the place of the equals sign. The slope is now -2 and the y-intercept is 15.
- 4
  Reduce the inequality by dividing if there is a number in front of the "y". For example, if the inequality is 4y > 3x + 24, divide both sides by 4 to get y > 3/4x + 6.

Science