Final: The Whole Plane

Part of the Graphs & Systems section of Coddy's Algebra journey. Lesson 61 of 61.

Draw the two lines using their intercepts and fractional slopes. Use the half-unit grid to locate points accurately, and check their intersection by substituting into both equations.

Challenge

Hard

Draw both lines of $y = \frac{3}{2}x+1;\quad y = \frac{-1}{2}x-3$ and read off the point where they cross.

Try it yourself

y = \frac{3}{2}x+1

y = \frac{-1}{2}x-3

Draw both lines

All lessons in Graphs & Systems

1Points and Rules

Two Numbers, One Point A Rule Makes Points The Points Line Up

4Slope-Intercept Form

y = mx + b The Starting Height Write the Equation Solve for y Draw From Any Form Recap: y = mx + b

7Parallel & Perpendicular

Same Slope, Never Meet The Perpendicular Slope A Right-Angle Line Recap: Two Relations

10Systems by Graphing

Two Lines, One Answer Solve by Drawing Check the Crossing When Lines Never Cross Recap: By Graphing

2The Whole Plane

The Four Quadrants Mirror Points On the Line or Not?Recap: Rule to Line

5Point-Slope Form

A Point and a Slope From Two Points Flat or Vertical Through Draw From a Point Recap: Point-Slope

8Function Notation

The Name of a Rule Inputs With Signs Find the Input The Graph of f Recap: f(x)

11Solving Systems Exactly

Substitution Isolate First Elimination Scale, Then Add Three Unknowns Two Numbers, Two Facts Recap: Two Methods

3Slope

Steepness as a Number Slope From Two Points Downhill Lines Flat and Straight Up A Fraction of a Slope Recap: Slope

6Standard Form

Ax + By = C The Two Intercepts Draw by Intercepts Between the Forms Recap: Standard Form

9Shaded Regions

A Line Splits the Plane Solid or Dashed Test a Point Rearrange, Then Shade Recap: Half-Planes Two Shadings Overlap The Corner of a Region

12Final Challenges

Final: Round Trip Final: Where They Meet Final: Draw the FenceFinal: The Whole Plane Project lesson