 Hello and welcome to the session. In exercise 1 to 8, find the equation of the line with satisfy the given condition passing through the point minus 4 3 with slope 1 upon 2. So first let us learn the equation of a line passing through the point x 1 y 1 having slope m is given by y minus y 1 is equal to m times of x minus x 1 where x y is any general point on the line. So with the help of this equation we are going to find the equation of line so this is our P idea. Let us now begin with the solution and here the given point through which the line passes is minus 4 comma 3 that is here x 1 is equal to minus 4 and y 1 is equal to 3 and the slope m is equal to half therefore equation of the line according to our P idea is given by y minus y 1 that is 3 is equal to m that is half into x minus x 1 and x 1 is minus 4 therefore we have y minus 3 is equal to half into x plus 4 all this can further but it must 2 times of y minus 3 is equal to x plus 4 or 2 y minus 6 minus 4 is equal to 0 or 2 y minus x minus 10 is equal to 0 or now multiplying both side by negative sign we have x minus 2 y plus 10 is equal to 0 therefore equation of a line passing through the point minus 4 3 with slope half is x minus 2 y plus 10 is equal to 0 so this is our answer hope you understood it take care and have a good day.