2-3 Standard Form PDF - Linear Equations

2-3 Standard Form Objective: to write and graph linear equations in standard form. Recall, the y-intercept is where the line intersects the y-axis. Its x-value is ZERO. The x-intercept is where the line intersects the x-axis. Its y-value is ZERO.  Standard Form of a linear equation: Ax + B...

2-3 Standard Form Objective: to write and graph linear equations in standard form. Recall, the y-intercept is where the line intersects the y-axis. Its x-value is ZERO. The x-intercept is where the line intersects the x-axis. Its y-value is ZERO.  Standard Form of a linear equation: Ax + By = C *note* B vs b A must be a whole number, and B and C must be integers! (No fractions allowed)! A, B, and C cannot have any common factors (other than 1). Why is standard form a thing? With Ax + By = C, you can easily identify BOTH the x- and y-intercepts. This allows you plot them both and create the line.  What is the graph of 2x + 6y = 12? x-intercept y-intercept Substitute 0 in for y Substitute 0 in for x What is the graph of 4x - 5y = -20? Hanna will spend $150 on festival tickets. Reserved seat tickets cost $25 and general admission tickets cost $10. How can you represent this with a linear equation? Horizontal & Vertical Lines Horizontal & Vertical Lines To conclude: x=# Vertical Line y=# Horizontal Line x and y in equation = diagonal line Tamira has $24 to buy green and red grapes. Green grapes are $3 per pound and red grapes are $2 per pound. What equation can we use to graph the different amounts of each grape she can buy for $24? 1. A 100-point test has x questions worth 2 points apiece and y questions worth 4 points apiece. What do the variables stand for: x=______________________, y= ____________________ What is the total? ______________ a. Write an equation that describes all possible numbers of questions that may be on the test. b. If you have 24 questions worth 4 points apiece, how many questions will be worth 2 points apiece? Given the point (-2, 1) and slope of 6, write an equation is standard form. IXL L.11, L.9, L.12 Delta Math "Linear Equations"