# Write an equation of the line that passes through each pair of points

You can also use the distance calculator to compute which side of a triangle is the longest, which helps determine which sides must form a right angle if the triangle is right. To find the slope of a line we need two coordinates on the line.

### How to find the equation of a line with one point

So we get b is equal to 13 thirds. You can look at that visually there or you can use this formula same exact idea, our ending x-value, our ending x-value is 5 and our starting x-value is negative 1. So good place to start is we can find its slope. We are basically measuring the amount of change of the y-coordinate, often known as the rise, divided by the change of the x-coordinate, known the the run. Because this equation describes a line in terms of its slope and its y-intercept, this equation is called the slope-intercept form. The sign in front of the gradient provided by the slope calculator indicates whether the line is increasing, decreasing, constant or undefined. A positive y-intercept means the line crosses the y-axis above the origin, while a negative y-intercept means that the line crosses below the origin. So 6 is the same thing as Let's do it over here. So, hopefully, you found that entertaining.

So it's this point, rigth over there, it's -1, 6. And this is just 13 over 3. You can look at that visually there or you can use this formula same exact idea, our ending x-value, our ending x-value is 5 and our starting x-value is negative 1. What is the equation of the line? Because this equation describes a line in terms of its slope and its y-intercept, this equation is called the slope-intercept form. The formula becomes increasingly useful as the coordinates take on larger values or decimal values.

So are change in x is 6. And even with my very roughly drawn diagram it those looks like this. So we are done. That's where the negative 10 comes from.

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