Y-intercept in the function6(y+2)=3(x-2)?

Question

6(y+2=3(x-2)?

Answer 1

To find the y-intercept, just plug in a value of 0 for x and solve for y:

 

6(y+2) = 3(x-2)

6y+12 = 3(0-2) = 3 (-2) = -6

6y+12 = -6

6y = -18

y = -3

 

So the y-intercept would be (0, -3)

 

 

 

Answer 2

You want to bring the line equation to the slope-intercept form y=mx+b, where m is the slope and b is the y-intercept value.

 

6(y+2)=3(x-2)

 

Distributive property:

 

6y+12=3x-6

 

Subtract 12 from both sides of equal sign:

 

6y = 3x - 18

 

Divide by 6 on both sides of equal sign:

 

y = 0.5x - 3

 

The y-intercept value is (-3). The y-intercept point is (0,-3).