Question

Find the intercepts: y=(2x-1)/(3-x)

Answer 1

To find the y intercept (there is only one y-intercept), plug in x = 0 and evaluate


y=(2x-1)/(3-x)


y=(2(0)-1)/(3-0)


y=(-1)/(3)


y = -1/3


So the y-intercept is (0, -1/3)

Answer 2

Plug in x =0 to find y intercept
y = 2x -1 / 3- x
y = 0-1/ 3-0 = -1/3
Y intercept is (0,-1/3)

Plug in y = 0 and find x
y=(2x-1)/(3-x)
0 = (2x-1)/(3-x)
Solve for x
2x -1 =0
x = 1/2
X intercept is (1/2 , 0)

Answer 3

To find the x -intercept, plug in y = 0 and solve for x


y=(2x-1)/(3-x)


0=(2x-1)/(3-x)

2x-1 = 0

2x = 1

x = 1/2


So the x-intercept is (1/2, 0)