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put this solution on YOUR website!Hello There:
Here is the information that you need to answer these questions.
An equation of the form x = c, where c is a real number, has a graph that's a vertical line.
Your two equations x = -2 and x = 3 are vertical lines that intersect the x-axis at (-2, 0) and (3, 0).
An equation of the form y = c, where c is a real number, has a graph that's a horizontal line.
Your equation y = -7 is a horizontal line that intersects the y-axis at (0, -7)
When two lines have the same slope, they are parallel.
When two lines have slopes that are negative reciprocals of each other, they aer perpendicular.
Solving for y shows us the slope.
This equation is already solved for y:
y = 2*x - 1
Solving this equation: y/2 = x + 3 gives us:
y = 2*x + 6
Both of these lines have slope 2, so they are parallel.
Solving 2*y = -x leads to: y = -(1/2)*x
This slope is -1/2; so it's the negative reciprocal of 2 (the slope of the parallel lines).
So, 2*y = -x is the line that is perpendicular to y/2 = x + 3 and y = 2*x - 1.
~ Mark
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