 Hi and welcome to the session. Let us discuss the following question. The question says find the coordinates of the photo perpendicular from the point minus 1, 3 to the line 3x minus 4 by minus 16 is equal to 0. Let's now begin with the solution. Now let a be with a line whose equation is 3x minus 4 by minus 16 is equal to 0. Let m be the point whose coordinates are minus 1, 3. From m we have drawn perpendicular to ab. We have to find the coordinates of foot of perpendicular from the point minus 1, 3. That means we have to find the coordinates of p. So we are given that equation of line ab is 3x minus 4 by minus 16 is equal to 0. Let's first find the slope of this line. Now 3x minus 4 by minus 16 is equal to 0 implies minus 4 by is equal to minus 3x plus 16. This implies y is equal to minus 3 by minus 4x plus 16 by minus 4. This implies y is equal to 3 by 4x minus 4. Now this equation is of the form y is equal to mx plus c. On comparing this equation with y is equal to mx plus c. You find that slope of this line is 3 by 4. So slope of line ab is 3 by 4. Now since mp is perpendicular to ab, slope of is equal to minus 1 because product of slope perpendicular lines is minus 1. Now slope of ab is 3 by 4. So we have 3 by 4 into slope of mp is equal to minus 1. This implies slope of mp is equal to minus 4 by 3. We will find equation of line mp. This line is passing through point minus 1 3 and is having slope minus 4 by 3. We know that equation of line passing through point x1 y1 and having slope m is y minus y1 is equal to m into x minus x1. Now here the point x1 y1 is minus 1 3 and slope is minus 4 by 3. So equation of line mp is y minus 3 is equal to minus 4 by 3 into x plus 1. Now this implies 3 by minus 9 is equal to minus 4x minus 4. This implies 4x plus 3y is equal to 5. So equation of line mp is 4x plus 3y is equal to 5. p is the point of intersection of lines mp and ab. So coordinates of p can be obtained by solving equation of line mp and ab simultaneously. Let us now solve these two equations simultaneously. Equation of line ab is x minus 4 by minus 16 is equal to 0 and equation of line mp is 4x plus 3y minus 5 is equal to 0. Let me apply this equation by 4 and this by 3. So now we have 12x minus 16 by minus 64 is equal to 0. 12x plus 9 by minus 15 is equal to 0. Now on subtracting second equation from 1 we get minus 25 by minus 49 is equal to 0. So y is equal to minus 49 by 25. Now we will substitute the value of y in the first equation. So by putting the value of y in 3x minus 4 by minus 16 is equal to 0 we get 3x minus 4 into minus 49 by 25 minus 16 is equal to 0. Now this implies 3x is equal to 60 minus 196 by 25. Now this implies 3x is equal to 400 minus 196 by 25 and this implies 3x is equal to 204 by 25. This implies x is equal to 204 by 25 into 1 by 3 and this implies x is equal to 68 by 25. Hence required coordinates of pr 68 by 25 minus 49 by 25. This is our required answer. So this continues this session. Bye and take care.