# Write an equation for the line in slope intercept form So this would be a negative over a positive, it would give you a negative number. Using the derivative as the slope of a linear equation that passes through that exact x, y point, the x-intercept is then calculated.

Linear equations are at the core of some of the most powerful methods to solve minimization and optimization problems. Minimization problems are a type of problem in which one would like to find how to make one of the variables as small as possible.

## Slope equation

Slope intercept formula derivation Still need to know how to find the slope intercept form of a linear equation? The intercept is the point at which the line crosses the y-axis. Write down the coordinates of the second point as well. So we're on the y-axis. If it is negative, y decreases with an increasing x. However, unlike humans, not all equations are equal. So our next goal is to somehow figure out what the value of b first. That makes sense, because we're downward sloping. Updated May 13, By John Papiewski Linear equations come in three basic forms: point-slope, standard and slope-intercept. Using a ruler, draw a line connecting the two points. Solving for Slope-Intercept Form From Two Points Imagine that you've been asked to write the slope-intercept equation for a line that passes through the points -3, 5 and 2, And you can see over here, we'd be downward sloping. Then the value of x at this point will be the time when you and the car were at the same place. In the example above, you were given the slope and y-intercept.

For a review of how this equation is used for graphing, look at slope and graphing. In general, any time that a function has an asymptote that lies on one of the axis, it will be missing at least one of the intercepting points. However, the reality is a bit different. Equations that are written in slope intercept form are the easiest to graph and easiest to write given the proper information.

Make sure that when you add or subtract fractions that you generate a common denominator. Nowadays, you likely needn't worry too much about the "standard" forms; this lesson will only cover the more-helpful forms.

However, unlike humans, not all equations are equal. Content Continues Below Slope-Intercept Form The various "standard" forms are often holdovers from a few centuries ago, when mathematicians couldn't handle very complicated equations, so they tended to obsess about the simple cases.

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