Systems of Equations and Inequalities: Background You’ll Need 2

  • Graph linear functions

A linear function looks like [latex]y=mx+b[/latex], where [latex]m[/latex] is slope and [latex]b[/latex] is the [latex]y[/latex]-intercept.

Graph [latex]y=-\tfrac{2}{3}x+4[/latex].

  • Intercept: [latex](0,4)[/latex]
  • Slope: [latex]-\frac{2}{3}[/latex] translates to
    • Down 2 units
    • Right 3 units

Step 1: Graph the intercept

Step 2: Use the slope to find a second point

Step 3: Draw the line through the points