SOLUTION: 1. What is the graph of a line that passes through (3,3), perpendicular to graph of y=3. 2. What is the graph of a line that passes through (2,-5), parallel to grap

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Question 213099This question is from textbook Algebra 2
: 1. What is the graph of a line that passes through (3,3), perpendicular to
graph of y=3.
2. What is the graph of a line that passes through (2,-5), parallel to
graph of x=4
3. If the graph of the equation ax+3y=9 is perpendicular to the graph of
the equation 3x+y=-4, find the value of a This question is from textbook Algebra 2

Answer by drj(1380) (Show Source):
You can put this solution on YOUR website!
Step 1. What is the graph of a line that passes through (3,3), perpendicular to
graph of y=3.

x and y axis are perpendicular to each other.

ANSWER

Note: x=3 is perpendicular to y=3 AND passes through point (3,3)

Step 2. What is the graph of a line that passes through (2,-5), parallel to
graph of x=4

ANSWER

x=2 is parallel to x=4 and passes through (2,-5)

Step 3. If the graph of the equation ax+3y=9 is perpendicular to the graph of
the equation 3x+y=-4, find the value of a

For the lines to be perpendicular the slopes have their product to be = -1.

Slope of line 3x+y=-4 is -3 since the slope intercept form for this equation is y=-3x-4

Slope of line perpendicular to this line must be since (-3)(1/3)=-1

So let's take and put it in slope-intercept form and find a.

slope intercept form where -a/3 is the slope so a=-1.

ANSWER is a=-1.

The graphs are shown below

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J