**2**because it goes up 2 units for every 1 unit it goes across. A line can be represented by a linear equation. We can find the slope from a linear equation.

## Real Examples of Finding the Slope from a Linear Equation in Slope-Point Form

Finding the slope of a line from a linear equation in slope-point form is easy. Here are some linear equations, which represent lines. We show how to find the slope from the linear equation.- The slope of
**y − 4 = 2(x − 1)**is**2**. Look at the number in front of the brackets with the**x**in it. This is the slope. A slope of 2 means that the line will go up by 2 when it goes across by 1. - slope of
**y − 1 = −3(x − 3)**is**−3**. The number in front of the brackets is negative. This means the line slopes**downwards**. A slope of −3 means that the line will go down by 3 when it goes across by 1.

## Beware

## Be Careful

In this lesson, we have said that the slope is given by the number in front of the brackets with the**x**in it. This is true as long as the

**x**in the brackets is positive and doesn't have another number in front of it. For example, consider the linear equations shown below:

- The
**x**has a − sign in front of it:y − 1 = 2(−x − 1)The slope would be**−2**. - The
**x**has a number front of it:y − 1 = 2(3x − 1)The slope would be**6**(2 × 3).

## Note

## Postive And Negative Slopes

A positive slope means the line slopes up and to the right: A negative slope means the line slopes down and to the right:## Zero Slope And Undefined Slope

A line that goes straight across has zero slope: A line that goes straight across has an undefined slope:## Interactive Widget

## You might also like...

linear equationsunderstanding linear equations in slope-point formfinding the y-intercept from a linear equation in slope-point formunderstanding linear equations in general form

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