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Pearson Algebra 1 Common Core, 2011 View details

5. Completing the Square

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Exercise 55 Page 581

Substitute 0 for y and solve.

4.5

Practice makes perfect

Think of the point where the graph of an equation crosses the x-axis. The y-value of that ( x, y) coordinate pair is 0, and the x-value is the x-intercept. To find the x-intercept of the equation, we should substitute 0 for y and solve for x.

2x + 3y = 9

Substitute

y= 0

2x+3( 0)=9

ZeroPropMult

Zero Property of Multiplication

2x=9

DivEqn

.LHS /2.=.RHS /2.

x=4.5

An x-intercept of 4.5 means that the graph passes through the x-axis at the point ( 4.5,0).