Determining Linear Equations of Lines in Slope-intercept Form

Tutoring on Determining Linear Equations of Lines in Slope-intercept Form

Learning Objectives:

Understand to Determine Linear Equations of Lines in Slope-intercept Form

Math Tutoring on Determining Linear Equations of Lines in Slope-intercept Form

A linear function is given by y = mx + b, or f(x) = mx + b. This graph is a straight line, with a slope equal to m, and crossing the y-axis at (0, b). The point (0, b) is called the y-intercept.

 So to summarize, you get two key components from a line in this form. Here m is equal to the slope; b is equal to the y-intercept.

 Let us take a look at our formal definition: y = mx + b is called slope intercept equation of a line, where m is the slope, where, m > 0  → Increasing,  m < 0 → Decreasing,  m = 0 → Horizontal, m is undefined → Vertical.

 

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Hook Questions:

1.    How can you use data to form an equation in slope intercept form?

2.    How can you predict the graph to be increasing, decreasing, horizontal or vertical?

3.    What is a slope?

 

 

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