SOLUTION: Find the distance between the two lines.
Line 1 y= 3/5x + 2
Line 2 Y= 3/5x - 1
Round to the nearest hundreth.
Algebra.Com
Question 1005617: Find the distance between the two lines.
Line 1 y= 3/5x + 2
Line 2 Y= 3/5x - 1
Round to the nearest hundreth.
Answer by josgarithmetic(39626) (Show Source): You can put this solution on YOUR website!
Try to make use of the y-axis intercept of one of the equations. Find a linear equation perpendicular to these two parallel lines. Drawing the graphs on the three equations on the same coordinate system should give you a clearer idea of the strategy.
Does that help?
Here is a way to think through.
The line perpendicular to both of these and passing through (0,2) is , which when put into slope intercept form is ; not surprising. This line intersects your line 1 and line 2.
What is the intersection point of line 2 and the line perpendicular to it?
multiply bothsides by lcd of 15,
-
Now find y of the intersection
.
.
-
The intersection of line 2 and the perpendicular is ( 45/34, -7/34).
Now, what is the distance between (0,2) and ( 45/34, -7/34 )?
Use the Distance Formula.
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