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The Starting Height

Part of the Graphs & Systems section of Coddy's Algebra journey. Lesson 15 of 61.

The y-intercept is where a graph crosses the y-axis. Its x value is always 0. For a line in slope-intercept form, the y-intercept is (0, b). For any other equation, put $x = 0$ into the equation and work out $y$ .

$y = -2x + 3 starts at (0, 3)$

y = -2x + 3 starts at (0, 3)

In a word problem, the y-intercept is the starting amount. It could be the fee you pay before you travel any distance, or the water level before any water is added. The slope is the rate of change, and the y-intercept is the value when $x = 0$ .

Challenge

Medium

A line is drawn. Place the point where it crosses the y-axis.

Try it yourself

Place the points

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 + bThe Starting HeightWrite 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