Equation of a line, two uknowns

[dwill]

A line has an equation x=-2y + z. If (3,2) is a point on the line, what is z?

1. I changed the equation to slope intercept form.
y = 1/2x + Z

yint = z
x int = z/2 ????????

I am not sure what the next step to find z..

Thanks,

 

[Mrspi]

A line has an equation x=-2y + z. If (3,2) is a point on the line, what is z?

1. I changed the equation to slope intercept form.
y = 1/2x + Z

yint = z
x int = z/2 ????????

I am not sure what the next step to find z..

Thanks,

If (3, 2) is on the line, then the equation is TRUE when you substitute 3 for x and 2 for y:

x = -2y + z

3 = -2(2) + z

Ok....solve that for z.

 

[dwill]

If (3, 2) is on the line, then the equation is TRUE when you substitute 3 for x and 2 for y:

x = -2y + z

3 = -2(2) + z

Ok....solve that for z.[/quote]

Thanks

 

[Denis]

A line has an equation x=-2y + z.
I changed the equation to slope intercept form.
y = 1/2x + z

dwill, that should be y = (-1/2)x + z/2.
I think you need a long talk with your teacher.