Question

find the y intercept
equation 1: 2x-4y=16
equation 2: y=-3/4x-3
equation 3: y-5=-2(x+1)

Answer 1

To find the y-intercept of an equation, you need to set x equal to 0 and solve for y.

1) Equation 1: 2x - 4y = 16
Setting x = 0: 2(0) - 4y = 16
Simplifying: -4y = 16
Dividing both sides by -4: y = -4
Therefore, the y-intercept of equation 1 is -4.

2) Equation 2: y = (-3/4)x - 3
Setting x = 0: y = (-3/4)(0) - 3
Simplifying: y = -3
Therefore, the y-intercept of equation 2 is -3.

3) Equation 3: y - 5 = -2(x + 1)
Setting x = 0: y - 5 = -2(0 + 1)
Simplifying: y - 5 = -2(1)
Simplifying: y - 5 = -2
Adding 5 to both sides: y = 3
Therefore, the y-intercept of equation 3 is 3.