In this lesson, we will learn

- how to graph a linear equation when the equation is given in slope-intercept form.
- how to graph a linear equation when the equation is given in general form.

Other methods used to graph linear equations are by plotting points and using *x*-intercept and *y*-intercept.

The following diagram shows how to graph a linear equation using slope-intercept. Scroll down the page for more examples and solutions.

When we are given a slope-intercept form of a linear equation, we can use the slope and *y*-intercept to graph the equation.

The slope-intercept form of an equation is

*y* = *mx* + *b,* where *m* is the slope of the line and *b* is the *y*-intercept.

Step 1: Find the *y*-intercept and plot the point.

Step 2: From the *y*-intercept, use the slope to find the second point and plot it.

Step 3: Draw a line to connect the two points.

**How to graph a line given in slope-intercept form?**

**Slope intercept formula**

We look at what slope and intercept mean as well as how to graph the equation.

The equation *y* = *mx**+ b* gives us information on the slope and the *y*-intercept. If the equation of a line is given in a different form, we rewrite it in the form *y* = *mx**+ b* in order to get the slope and *y*-intercept of the line. * **Example****** :***

Rewrite the following equation in slope-intercept form to determine the slope and *y*-intercept:

3*x* = 4*y* – 7

**Solution:**

Rewrite 3*x* = 4*y* – 7 in the form *y* = *mx**+ c*

3*x* = 4*y* – 7

4*y* = 3*x* + 7

*y* =

The slope is and the *y*-intercept is

**How to convert a linear equation from standard form to slope-intercept form and graphing?**

**How to linear equations given in general form?**

**Slope and intercept of a linear equation**

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