Recap: Point-Slope

Part of the Graphs & Systems section of Coddy's Algebra journey. Lesson 27 of 64.

One point and a slope pin a line: y - y1 = m(x - x1), expanded when a clean form is wanted; two points need the slope computed first; flat and vertical lines write themselves. The challenge expands a point-slope equation with a negative slope.

Challenge

A line through (3, -1) with slope -2 satisfies y + 1 = -2(x - 3). Solve for y and multiply everything out.

Try it yourself

y + 1 = -2(x - 3)

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 PointRecap: 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