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More Lessons for Geometry

Math Worksheets

In this lesson, we will learn how to get the equation of a line given its slope and a point on the line by### Using the Point-Slope Form to get the Equation

### Using the Slope-Intercept to get the Equation

This will show you how to write an equation of a line that has a given slope and passes through a given point.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for Geometry

Math Worksheets

In this lesson, we will learn how to get the equation of a line given its slope and a point on the line by

- using the Point-Slope Form.
- substituting into the Slope-Intercept equation.

We will now look at how to use the point-slope form to get the equation of a line given its slope and a point on the line.

**Example*** : *

Find the equation of a line with slope –3 and passing through (–2, 1).

** Solution: **

** Step 1** : Write out the Point-slope Form

* y* − *y*_{1} = *m*(*x *−* x*_{1})

** Step 2** : Substitute the slope –3 and the coordinates of the point (–2, 1) into the point-slope form.

*y* − 1 = –3(*x *−(−2))

** Step 3** : Simplify the equation

*y* − 1 = –3(*x *−(−2))

*y* − 1 = –3(*x * + 2)

*y* − 1 = –3*x * − 6

*y* = –3*x * − 6 + 1

*y* = –3*x * − 5

The required equation is *y* = –3*x * − 5

This video looks at writing linear equations in point-slope form, given a point and a slope, or two points. It includes four examples.

**Example*** : *

Find the equation of a line with slope – and passing through (–3, 1).

*Solution: *

** Step 1: ** Substitute *m* = – , *x* = –3 and *y* = 1 into the equation *y* = *mx+ c *to obtain the value of *c*.

** Step 2: ** Write out the equation of the line

The required equation is or 2*y* = –3*x* – 7

This will show you how to write an equation of a line that has a given slope and passes through a given point.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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