00:01
Hi, now we are going to find the another point that would lie on the second line.
00:05
Now the given information is a line is passes through the points (-3 ,8 ,1 ,9).
00:12
This line is perpendicular to the second line.
00:16
So we have to find the slope of this line.
00:19
Now we know that the formula for calculating the slope is m is equal to y2 -y1 divided by x2 -x1.
00:27
So now we have to substitute the corresponding values in this formula.
00:31
Now i take (-3 ,8 as x1 ,y1 and 1 ,9 as x2 ,y2).
00:38
Then the slope will be equal to 9 -8 divided by 1 plus 3 that is 1 divided by 4.
00:46
Then the required slope m1 will be minus 1 divided by m.
00:52
So this will be equal to minus 4.
00:54
So now we are going to find the line.
00:58
We know that equation of the line is y -y1 is equal to m into x -x1.
01:05
Here the given one point is x1 ,y1 and that is minus 2 ,4.
01:12
So now we have to substitute the corresponding values in the above formula.
01:16
Then we get y -4 is equal to minus 4 into x plus 2.
01:21
From this we get y -4 is equal to minus 4x minus 8.
01:28
Then y is equal to minus 4x minus 4.
01:34
Now we are going to substitute the given options in this line.
01:39
Now in option a, the given point is minus 1 ,0.
01:43
So we have to put x is equal to minus 1 in this equation...