# How do you write an equation in point slope form

Affiliate In the worked examples in the next sectionI'll use the point-slope formula, because that's the way I was taught and that's what most books want.

### Use the labeled point to write a point slope form for the line

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. Below you see the point-slope formula and below it, is the formula with the values filled in: After this, you usually put the equation into slope-intercept form by solving the equation for y. Search for: Write the point-slope form of an equation Up until now, we have been using the slope-intercept form of a linear equation to describe linear functions. The slope of 3 tells us to replace the m with 3. 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, y1 , along with this slope I've just calculated, and plug these values into the point-slope form. You can get the same answer either way, so use whichever method works more comfortably for you. Try the entered exercise, or type in your own exercise. To get from point-slope to slope-intercept form, you need to distribute and combine like terms i.

To visualize what's happening in this kind of a problem, let's imagine throwing a tennis ball onto a roof. Clicking on "View Steps" on the widget's answer screen will take you to the Mathway site, where you can register for a free seven-day trial of the software.

### Point slope form with two points

See Figure 6. Content Continues Below You can use the Mathway widget below to practice finding a line equation using the point-slope formula. We can substitute these values into the general point-slope equation. Here, we will learn another way to write a linear function, the point-slope form. You will also replace the m with the slope that you know. At the end, you will be able to test your knowledge with a quiz. We can use the coordinates of the two points to find the slope. 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.

Content Continues Below You can use the Mathway widget below to practice finding a line equation using the point-slope formula. We can move from one form to another using basic algebra.

## Point slope form to standard form

Examples Example 1: Find an equation of the line with a slope of 3 that passes through the point 2, 4. The point 2, 4 tells us that x sub 1 will be replaced with 2 and y sub 1 will be replaced with 4. To visualize what's happening in this kind of a problem, let's imagine throwing a tennis ball onto a roof. 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. Here, we will learn another way to write a linear function, the point-slope form. The x and y without the subscript 1 will remain variables in the formula. At the end, you will be able to test your knowledge with a quiz. You can use the Mathway widget below to practice finding a line equation from two points. Let's try another example. Below you see the point-slope formula and below it, is the formula with the values filled in: After this, you usually put the equation into slope-intercept form by solving the equation for y.

Equation The formula to find the equation of a line in point-slope form is: To use this formula, you will substitute the coordinates of the known point for the x sub 1 and the y sub 1. The slope of 3 tells us to replace the m with 3.

## Point slope form equation calculator

If that works better for you, then use that method instead. I've already answered this one, but let's look at the process. Definition Using point-slope form means that you're supposed to write the equation of a line from knowing its slope and any point on the line. Then, we have to add 4 to both sides of the equation to get y by itself. 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, y1 , along with this slope I've just calculated, and plug these values into the point-slope form. We can substitute these values into the general point-slope equation. 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. The steepness of the roof is the slope. Figure 7 Example 6: Writing Linear Equations Using Two Points Write the point-slope form of an equation of a line that passes through the points 5, 1 and 8, 7. The location where the ball hits the roof is the point you will use in the calculation. See Figure 6. Then rewrite it in the slope-intercept form.

Then, we have to add 4 to both sides of the equation to get y by itself. Examples Example 1: Find an equation of the line with a slope of 3 that passes through the point 2, 4.

The x and y without the subscript 1 will remain variables in the formula.

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