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 Dependent Variable

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# The Slope of a Line

We will see that we can graph a line when we solve each equation of the type Ax + By = C

to the form y = m x + b .

NOTE: For the point (0, b ) if the value of b is a fraction we will need to find an integer point.

Examples 1-2. Solve each of these literal equations for y (as in Chapter 2) we get: y = m x + b

 Compare and see Compare and see

Now if we substitute x = 0 in each of these equations we find:

 1. Let x = 0 then point (0, -2) 2. If x = 0 then point Now, let x = 1 to find integer point: (1, 2)

Look again at the equations to use the slope and intercept (or integer point) to graph the lines:

 Integer point from above: (1, 2) Plot (0, − 2) and â€œmoveâ€ with the slope, plot points and draw the line through them: Plot (1, 2) and â€œmoveâ€ with the slope, plot points and draw the line through them: