SOLUTION: A line intersects the y-axis, the line {{{y = 2x + 2}}}, and the x-axis at the points A, B, and C respectively. If segment AC has a length of {{{4 sqrt(2)}}} units and B lies in th
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Question 1058171: A line intersects the y-axis, the line , and the x-axis at the points A, B, and C respectively. If segment AC has a length of units and B lies in the first quadrant and is the midpoint of segment AC, find the equation of the line in slope-intercept form.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let's assume that the line intersects the x-axis at A:(,) and the y-axis at C:(,).
So you the distance is,
You also know that the midpoint is B and using the equation of the midpoint,
and
Since it's a common point between the line and the line , then,
Substituting above,
Since you only allow solutions in Q1, only use the positive solution.
then,
You can then calculate the slope of the line,
So,
.
.
.
.
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