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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Linear Equations

To find the equation of a line, we must know a point on the line and the slope of the line.
For example, lets find the equation of the following line: We must first find the slope: Now we use one of the given points, say (3,1).

Using the point-slope equation we get However, the book wants the equation written in General Form or Slope-Intercept form:
To put the equation in Slope-Intercept form (y = mx+b), solve the equation for y:  Distribute Add 1 to both sides Simplify

To put the equation into General Form (Ax+By = C ) , we must get rid of the fractions: 4y−4=3(x−3) Multiply both sides by 4 4y−4=3x−9 Distribute 3x−4y=5 Get in the form Ax+By = C