Find the intercepts of -(1/2)y - 12 = x

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hala718's profile pic

hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted on

Given the function :

-(1/2)y - 12 = x

We need to find the intercepts.

First we will find the y intercept. Then the value of x is 0.

==> -1/2 y -12 = 0

==> -1/2 y= 12

==> y= -24

Then the y-intercept is the point ( 0, -24)

Now we will find the x-intercept. Then the value of y= 0

==> -1/2 * 0 -12 = x

==> x= -12

Then the x-intercept is the point (-12, 0)

Then the intercepts are: ( -12,0) and (0, -24)

giorgiana1976's profile pic

giorgiana1976 | College Teacher | (Level 3) Valedictorian

Posted on

To determine the x intercept, we'll cancel out y:

-(1/2)*0 - 12 = x

x = -12

To determine the y intercept, we'll cancel out x:

-(1/2)*y - 12 = 0

We'll shift -12 to the right:

-(1/2)*y = 12

y = -24

The x axis intercept is (-12 , 0) and the y axis intercept is (0 , -24).

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