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In this lesson we learn how to graph and interpret linear equations in slope-intercept form: y=mx+b where m is the slope (rise/run) and b is the y-intercept (where the line crosses the y-axis). You’ll practice: Graphing lines quickly using y-intercept → slope Finding the equation from a graph (identify m and b) Finding the equation from two points (use the slope formula, then solve for b) Interpreting slope and y-intercept in a real-world situation (gift card / coffee example) 🔗 Visit www.clopensets.com for full class videos, guided notes, and printable worksheets that go along with this lesson. 🔗 ClopenSets shop: https://www.etsy.com/shop/Clopensets #education #maths #math #highschoolmath #highschool Chapters 00:00 Intro: slope-intercept form (y = mx + b) 00:06 What slope means (rise/run) + slope formula 00:46 y-intercept vs x-intercept 01:12 Identify m and b from y = mx + b 01:48 Example 1: graph y = (4/5)x - 2 03:15 Example 2: graph y = -2x + 5 (negative slope) 04:26 Find an equation from a graphed line (m and b) 07:03 Another graph → equation in slope-intercept form 07:51 Find an equation from two points (process) 08:53 Example: two points → slope → find b → equation 10:15 Interpret slope & y-intercept (gift card + coffee) 11:10 Find slope from two data points (context) 12:45 Use slope + a point to find the y-intercept 13:34 Interpret the y-intercept (starting value)