Finding the Intercepts of a Linear Equation
The intercepts of a linear equation can be determined algebraically by exploiting the fact that one coordinate is always at each intercept. - To find the -intercept, substitute into the equation and solve the resulting equation for . The solution gives the ordered pair . - To find the -intercept, substitute into the equation and solve for . The solution gives the ordered pair . For example, given the equation , substituting produces , which simplifies to , so , and the -intercept is . Similarly, substituting gives , so and , yielding the -intercept .
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