Solve a system of equations by graphing

Learning Objectives Identify two simple linear relationships from a consumer math problem. Create a table of values for each relationship. Accurately plot points for each relationship on a coordinate plane. Draw a straight line connecting the plotted points for each relationship. Locate the point where the two lines intersect on a graph. Interpret the intersection point as the solution to the problem in a real-world context. Ever wonder when two different choices, like two stores selling snacks, end up costing the exact same amount? 🍎💰 Let's find out! In this lesson, you'll learn a super cool way to compare two different situations by drawing pictures called graphs. We'll use graphs to find out when two things become equal, which is super helpful for making...

TermDefinitionExample Coordinate PlaneA grid made of two number lines (the x-axis and y-axis) that helps us plot points and show relationships.Imagine a checkerboard where you can find any square by saying its row and column number. That's like a coordinate plane! Ordered PairTwo numbers, written as (x, y), that tell you the exact location of a point on the coordinate plane. The first number (x) tells you how far to go across, and the second number (y) tells you how far to go up or down.The point (3, 5) means go 3 steps right from the center, then 5 steps up. Relationship/RuleA pattern or instruction that connects two quantities. For example, 'Cost is $2 times the number of items'.If the rule is 'Cost = $3 x Items', then for 2 items, the cost is $6. Graphing a Rel...

Rule for Plotting Points To plot an ordered pair $(x, y)$, start at the origin $(0,0)$, move $x$ units horizontally (right for positive, left for negative), then move $y$ units vertically (up for positive, down for negative). This rule helps you place each calculated point from your table onto the coordinate plane accurately. Rule for Graphing a Relationship 1. Create a table of at least 3 ordered pairs $(x, y)$ that fit the relationship. 2. Plot these points on the coordinate plane. 3. Use a ruler to draw a straight line through the points, extending it across the graph. This process creates a visual representation of your relationship, showing all possible solutions for that single rule. Rule for Finding the Solution to a System Graph both relationships on the same c...