Write an augmented matrix for the system. Then state the dimensions. 3x−4y=7 9x+11y=10
1 answer:
You might be interested in
I hope this helps you
Answer:
<em>The lines are perpendicular. </em><em>Option B.</em>
Explanation:
<u>Equation of the Line</u>
One of the characteristics of the line is its slope. It can be determined in two ways:
* From the equation y=mx+b, the m is the slope. The given equation is y=4x-5. Thus, the slope of this line is m=4.
* Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
The points are (3,4) and (7,3), thus the slope is:
A. For two lines to be parallel, their slopes must be equal. Since m1=4 and m2=-1/4, the lines are not parallel. Incorrect
B. For two lines to be perpendicular, their slopes must meet the condition:
4*(-1/4)=-1
Both lines are perpendicular. Correct choice
D. Since choice B. is correct, this cannot be true. Incorrect