SOLUTION: Two perpendicular lines intersect at point (9,2). If the x-intercept of one line is double the x-intercept of the other, find the possible sum(s) of these x- intercepts.
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-> SOLUTION: Two perpendicular lines intersect at point (9,2). If the x-intercept of one line is double the x-intercept of the other, find the possible sum(s) of these x- intercepts.
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Question 186465: Two perpendicular lines intersect at point (9,2). If the x-intercept of one line is double the x-intercept of the other, find the possible sum(s) of these x- intercepts. Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! One line would be
The other line would be and are the y-intercepts
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Let the x-intercepts be and at the x-intercepts, so
and
and
and
Substituting: this is the answer
Suppose the slopes of the lines are
and the solution is (9,2)
the equations are: 1st equation
and 2nd equation
Setting in both will find the x-intercepts
and
and
Multiply both sides by
OK
