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Determine the 
y-intercept of the following equation.

(x+3)(x-5)=y

(3,0) and 
(5,0)

(0,15)

(-15,0)

(-3,0) and 
(5,0)

(0,-3) and 
(0,5)

(0,-15)

Determine the y y -intercept of the following equation.\newline(x+3)(x5)=y (x+3)(x-5)=y \newline(3,0) (3,0) and (5,0) (5,0) \newline(0,15) (0,15) \newline(15,0) (-15,0) \newline(3,0) (-3,0) and (5,0) (5,0) \newline(0,3) (0,-3) and (0,5) (0,5) \newline(0,15) (0,-15)

Full solution

Q. Determine the y y -intercept of the following equation.\newline(x+3)(x5)=y (x+3)(x-5)=y \newline(3,0) (3,0) and (5,0) (5,0) \newline(0,15) (0,15) \newline(15,0) (-15,0) \newline(3,0) (-3,0) and (5,0) (5,0) \newline(0,3) (0,-3) and (0,5) (0,5) \newline(0,15) (0,-15)
  1. Determine y-intercept: To find the y-intercept of the equation, we need to determine the value of yy when xx is equal to 00. This is because the y-intercept is the point where the graph of the equation crosses the y-axis, and at this point, the x-coordinate is always 00.
  2. Substitute x=0x=0: Substitute x=0x = 0 into the equation (x+3)(x5)=y(x+3)(x-5)=y to find the y-intercept.\newliney=(0+3)(05)y = (0+3)(0-5)\newliney=(3)(5)y = (3)(-5)\newliney=15y = -15
  3. Calculate yy: The yy-intercept of the equation is the point (0,y)(0, y), where yy is the value we just calculated.\newlineTherefore, the yy-intercept is (0,15)(0, -15).

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