CPM Homework Help : AC Problem 4-97

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Home > AC > Chapter 4 > Lesson 4.2.4 > Problem 4-97

4-97.

Determine the coordinates of each point of intersection without graphing.

$y = - x + 8$
$y=x−2$
Hint (a):
Use the Equal Values Method.
Step 1(a):
Set both equations equal to each other.
$−x+8=x−2$
Step 2(a):
Get all the $x$ terms on one side of the equation.
$−2x=−10$
Step 3(a):
Divide both sides by $−2$ to solve for $x$ .
$x=5$
Step 4(a):
Substitute this value into one of the original equations to solve for $y$ .
Answer (a):
$(5,3)$

$y=−3x$
$y=-4x+2$
Hint (b):
Follow the steps in part (a).
Answer (b):
$(2,−6)$

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