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Between the Forms

Part of the Graphs & Systems section of Coddy's Algebra journey. Lesson 31 of 64.

Standard form and slope-intercept form can describe the same line. For 5x + 2y = 10, subtract 5x and divide by 2 to get y = (-5/2)x + 5. The slope is -5/2.

If B is nonzero, rearranging Ax + By = C gives y = (-A/B)x + C/B, so the slope is -A/B. For 3x - 2y = 8, the slope is 3/2. If B = 0, the line is vertical and its slope is undefined.

Challenge

Medium

Rewrite 2x + 6y = 12 in slope-intercept form: solve for y and multiply everything out.

Try it yourself

2x + 6y = 12

Solve for y

Test yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Graphs & Systems

1The Coordinate Plane

Two Numbers, One Point The Four Quadrants Points on the Axes Mirror Points Recap: The Plane

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

2From Rule to Line

A Rule Makes Points The Points Line Up On the Line or Not?Between the Dots 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