## Tutoring on Graphing a Linear Equations in Slope-intercept form: y=mx+b

Learning Objectives:

#### Understand to Graph Linear Equations in Slope-intercept form

Math Tutoring on Graphing a Linear Equations in Slope – Intercept Form:

y = mx+b

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, we get two key components from a line in this form. m is equal to the slope, b is equal to the y-intercept. Let's 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.    What is meant by an equation line by Slope – Intercept Form?

2.    How can we determine whether a slope is increasing, decreasing, horizontal or vertical?

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