# Write an equation in point slope form for each line

This is the only line in the world that has slope -3 and passes through the point -1,5. Believe it or not, no one quite knows why. To rewrite the equation in slope-intercept form, we use algebra.

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Then rewrite it in the slope-intercept form. I've already answered this one, but let's look at the process.

### How to find the equation of a line with one point and no slope

Provided by: OpenStax. But my experience has been that many students prefer to plug the slope and a point into the slope-intercept form of the line, and solve for b. Or skip the widget and continue with the lesson. If that works better for you, then use that method instead. This shows that it really doesn't matter which method you use unless the text or teacher specifies. We can move from one form to another using basic algebra. We can use the coordinates of the two points to find the slope. Now we can substitute these values into the general point-slope equation.

I should get the same result; namely: Given two points, I can always find the slope: Then I can use either point as my x1, y1along with this slope I've just calculated, and plug these values into the point-slope form.

Solution Writing the Equation of a Line Using Two Points The point-slope form of an equation is also useful if we know any two points through which a line passes.

### How to find a point on a line given the equation

You can purchase this book at Amazon. Affiliate In the worked examples in the next section , I'll use the point-slope formula, because that's the way I was taught and that's what most books want. All rights reserved including the right of reproduction in whole or in part in any form. If that works better for you, then use that method instead. Authored by: Jay Abramson, et al.. See Figure 6. Solution Writing the Equation of a Line Using Two Points The point-slope form of an equation is also useful if we know any two points through which a line passes. Please accept "preferences" cookies in order to enable this widget. So, unless your text or teacher specifies the method or format to use, you can and should! Or skip the widget and continue with the lesson. We can substitute these values into the general point-slope equation. Believe it or not, no one quite knows why. Example 1: Write the equation of the line with slope -3 that passes through the point -1,5 and solve the equation for y.

If that works better for you, then use that method instead. So, unless your text or teacher specifies the method or format to use, you can and should! Then click "Answer" to compare your answer to Mathway's. Authored by: Jay Abramson, et al. You can find the straight-line equation using the point-slope form if they just give you a couple points: Find the equation of the line that passes through the points —2, 4 and 1, 2.

We can convert it to the slope-intercept form as shown. All you'll need is the point-slope formula for a line.

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