00:01
Hi, from the question given that here we need to find the equation that satisfying the given condition.
00:09
Suppose the equation of a line passes through 4 ,5 and parallel to the line 8x -2y is equal to 5.
00:23
If it is parallel means slope of the two lines are equal.
00:27
So m1 is equal to m2 if it is parallel.
00:32
So from this first we need to write in the form of y is equal to mx that is slope intercept form.
00:39
So the given equation became minus 2y is equal to minus 8x plus 5.
00:46
So y is equal to 4x minus 5 by 2.
00:54
So here the slope of the line m1 is equal to 4 and this implies the slope of the new line m2 is also be 4 and the equation of the new line passes through the point 4 ,5.
01:09
Therefore y is equal to 5 and x is equal to 4 on substituting the values of x and y and m in this form...