Find the coordinates of the labeled points Decide whether or

Find the coordinates of the labeled points. Decide whether or not the ordered pair is a solution to the equation. x + y = 7; (4, 3) y = 4x; (2, 8) Find the coordinates of the y-intercept for the given equation. y = x + 15 y = 8x - 5

Solution

4) coordinates of C are (-5,1) and coordinates of D are (3,-6)

5) plugging in 4 for x and 3 for y in the equation : 4 + 3 = 7 which is true,hence the ordered pair (4,3) is a solution to the equation x + y = 7

6) plugging in 2 for x and 8 for y in the equation : 8 = 4(2) which is true,hence the ordered pair (2,8) is a solution to the equation y = 4x

7) comparing y = x + 15 with y = mx + b we have : b = 15,hence the coordinates of the y-intercept are (0,15)

8) comparing y = 8x - 5 with y = mx + b we have : b = -5,hence the coordinates of the y-intercept are (0,-5)