Answer:
you multiple two numbers and you devide both sides you get the answer
Answer:
Helena is correct.
Step-by-step explanation:
The slope intersept form of the line is
y = m x + c
where, m is the slope and c is the intersept.
The point slope form of the equation is

So, if there are two points are given, the equation of line is found by the point slope form.
So, Helena is correct.
We found a counterexample, so the statement is false.
<h3>
Is the statement true?</h3>
Let's use the matrix:
![\left[\begin{array}{cccc}-2&0&0&0\\0&1&0&0\\0&0&1&0\\ 0&0&0&1 \end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D-2%260%260%260%5C%5C0%261%260%260%5C%5C0%260%261%260%5C%5C%200%260%260%261%20%5Cend%7Barray%7D%5Cright%5D)
This is a 4x4 matrix with determinant equal to -2.
The inverse matrix is:
![\left[\begin{array}{cccc}1/2&0&0&0\\0&-1&0&0\\0&0&-1&0\\ 0&0&0&-1 \end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%2F2%260%260%260%5C%5C0%26-1%260%260%5C%5C0%260%26-1%260%5C%5C%200%260%260%26-1%20%5Cend%7Barray%7D%5Cright%5D)
If we multiply it by 2, we get:
![\left[\begin{array}{cccc}1&0&0&0\\0&-2&0&0\\0&0&-2&0\\ 0&0&0&-2 \end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%260%260%260%5C%5C0%26-2%260%260%5C%5C0%260%26-2%260%5C%5C%200%260%260%26-2%20%5Cend%7Barray%7D%5Cright%5D)
The adjoint of that is the original matrix, actually:
![\left[\begin{array}{cccc}-2&0&0&0\\0&1&0&0\\0&0&1&0\\ 0&0&0&1 \end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D-2%260%260%260%5C%5C0%261%260%260%5C%5C0%260%261%260%5C%5C%200%260%260%261%20%5Cend%7Barray%7D%5Cright%5D)
Which we already know, has a determinant of -2.
So the statement is false, as we found a counterexample.
If you want to learn more about matrices:
brainly.com/question/11989522
#SPJ1
Answer:
11. y = -2x - 4.
12. y = x - 5
Step-by-step explanation:
11. the given points on the line are ((-2, 0) and (0, -4)
The slope of the line
= difference in y values / corresponding difference in x values
= ( - 4 - 0) / 0 - (-2))
= -4 / 2
= -2.
The general form of a straight line is y = mx + c where m = the slope and c = y value of the intercept on the y-axis.
So the equation is:
y = -2x - 4.
12.
The points are (1, -4) and (3, -2).
The slope is (-2 - (-4)) / (3 - 1)
= 2/2
= 1.
So the equation is
y = 1x + c
We find c by plugging in the point (1, -4):
-4 = 1 + c
c = -4 - 1
c = -5.
The equation is y = x - 5.