Slope-intercept form is a way to write the equation of a line. It's super useful because it tells you two important things about the line: its slope and where it crosses the y-axis. The equation looks like this: $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.
The slope ($m$) tells you how steep the line is. A positive slope means the line goes up as you move from left to right, and a negative slope means it goes down. The y-intercept ($b$) is the point where the line crosses the y-axis. It's the value of $y$ when $x$ is zero. Understanding these two values makes graphing lines a breeze!
| Term | Definition |
|---|---|
| 1. Slope | a. The point where a line crosses the y-axis |
| 2. Y-intercept | b. A way to write the equation of a line: $y = mx + b$ |
| 3. Slope-intercept form | c. The steepness of a line |
| 4. Origin | d. A coordinate plane's (0,0) point |
| 5. Linear Equation | e. An equation that, when graphed, forms a straight line. |
Match the term with its correct definition.
The slope-intercept form of a linear equation is $y = mx + b$, where $m$ represents the ______ and $b$ represents the ______. The slope tells us how ______ the line is, and the y-intercept tells us where the line crosses the ______-axis.
Explain how you can determine the equation of a line in slope-intercept form if you are given two points on the line. What steps would you take?
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