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How to Graph Linear Equations Using the Intercepts Method

    • 1). Convert the two intercepts into point coordinates.

      For example, if you are given that the x-intercept is 2 and the y-intercept is -4, then the intercept points are (x,y)=(2,0) and (x,y)=(0,-4).

    • 2). Graph by drawing a line straight through these two points.

    • 3
      Rise Over Run (Slope)

      Alternatively, make an equation of these two points.

      The slope of the line is the rise over run between the two points: "y/"x. (Note that " means "difference between two numbers.") For our example, the slope is (0--4)/(2-0) = 2.

    • 4
      Slope-intercept Form

      Insert the slope and the y-intercept into the slope-intercept form.

      For slope m and y-intercept b, the equation is y=mx+b. For our example, that's y=2x-4.

    • 5). Check your work.

      Make sure the points upon which the equation are based do actually solve the equation. For example, (0,-4) does solve it, because (-4)=2---(0)-4.

    • 6). Plot some points using the equation.

      Insert x-values to find the corresponding y-values. Then plot these (x,y) points.

    • 7
      Only One Intercept

      Draw the full line out by drawing through the plotted points.

      As few as two points are needed to do so.

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