In this video lesson we will discover that when a linear equation is solved for y it is written in slope-intercept form. We will learn that slope-intercept form is y=mx + b where m represents the slope of the line and b represents the y-intercept of the line. Our essential question will ask us to think about what is true about all y-intercepts. We will learn that the x-coordinate of ANY y-intercept is 0 and that the ordered pair for any y-intercept is (0, b). We will learn the 4 steps to graphing a linear equation in slope-intercept form. Step 1: Identify the slope and y-intercept of the line. Step 2: Plot the y-intercept. Step 3: Using the slope and rise over run, rise and run from the y-intercept and plot a second point. Step 4: Connect the two points with a line. Student practice is embedded in the video with modeled exemplar solutions.
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00:00 Introduction
00:34 What is Slope-Intercept Form?
01:37 How to identify Slope from Slope-Intercept Form
02:53 How to identify y-intercept from Slope-Intercept Form
03:51 Identify Slope and y-intercept
04:47 Student Practice #1
05:21 Student Practice #2
05:48 FOUR Steps to Graphing Slope-Intercept Form
06:27 Graphing Slope-Intercept Form
07:48 Student Practice #3
08:54 Student Practice #4
Common Core Math Standards
8.EE.B.6 Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.