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### Course: Algebra (all content) > Unit 3

Lesson 7: Writing slope-intercept equations- Slope-intercept equation from graph
- Writing slope-intercept equations
- Slope-intercept equation from graph
- Slope-intercept equation from slope & point
- Slope-intercept equation from two points
- Slope-intercept from two points
- Slope-intercept form problems
- Slope-intercept equation from slope & point (old)
- Slope-intercept equation from slope & point: fractions (old)
- Finding y intercept given slope & point (old)
- Slope-intercept form review

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# Slope-intercept form review

Review slope-intercept form and how to use it to solve problems.

## What is slope-intercept form?

Slope-intercept is a specific form of linear equations in two variables:

When an equation is written in this form, ${m}$ gives the slope of the line and ${b}$ gives its $y$ -intercept.

*Want to learn more about slope-intercept form? Check out this video.*

## Finding slope-intercept equation from features or graph

### Example 1: Equation from slope and intercept

Suppose we want to find the equation of the line whose slope is ${-1}$ and $y$ -intercept is $(0,{5})$ . Well, we simply plug ${m=-1}$ and ${b=5}$ into slope-intercept form!

### Example 2: Equation from two points

Suppose we want to find the line that passes through the points $(0,-4)$ and $(3,-1)$ . First, we notice that $(0,{-4})$ is the $y$ -intercept. Second, we use the two points to find the slope:

Now we can write the equation in slope-intercept:

*Want to try more problems like this? Check out these exercises:*

## Finding features and graph from slope-intercept equation

When we have a linear equation in slope-intercept form, we can quickly find the slope and $y$ -intercept of the corresponding line. This also allows us to graph it.

Consider, for example, the equation $y={2}x{+3}$ . We can quickly tell that the corresponding line has a slope of ${2}$ and its $y$ -intercept is $(0,{3})$ . Now we can graph the line:

*Want to try more problems like this? Check out these exercises:*

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