- The Meaning of Slope and y-Intercept in the Context of Word Problems
- Slope Intercept Form of a Linear Equation
- Slope Intercept Form
The Meaning of Slope and y-Intercept in the Context of Word Problems
Learn about the slope-intercept form of two-variable linear equations, and how to interpret it to find the slope and y-intercept of their line.what with for does
To be able to use slope intercept form, all that you need to be able to do is 1 find the slope of a line and 2 find the y-intercept of a line. Since a vertical line goes straight up and down, its slope is undefined. Also, the x value of every point on a vertical line is the same. Therefore, whatever the x value is, is also the value of 'b'. Also,since the line is horizontal, every point on that line has the exact same y value. This y-value is therefore also the y-intercept.
This useful form of the line equation is sensibly named the "slope-intercept form". Graphing from this format can be quite straightforward, particularly if the values of " m " and " b " are relatively simple numbers such as 2 or 4. In this lesson, we are going to look at the "real world" meanings that the slope and the y -intercept of a line can have, in context. In other words, given a "word problem" modelling something in the real world, or an actual real-world linear model, what do the slope and intercept of the modelling equation stand for, in practical terms? Back when we were first graphing straight lines, we saw that the slope of a given line measures how much the value of y changes for every so much that the value of x changes. For instance, consider this line:.
There are several forms that the equation of a line can take. They may look different, but they all describe the same line--a line can be described by many equations. All linear equations describing a particular line, however, are equivalent. The first of the forms for a linear equation is slope-intercept form. Equations in slope-intercept form look like this:.
Slope Intercept Form of a Linear Equation
How do find the x and y intercepts and graph
Slope Intercept Form