Find the x and y intercepts of 6x+2y=12

The best way to find the y-intercept is to convert this standard form equation into slope-intercept form.

Firstly, subtract 6x on both sides of the equation:

Next, divide both sides by 2 and your slope intercept form is . And looking at this form, we see that the y-intercept is (0,6).

Next, to find the x-intercept, plug in 0 into the y-variable and solve for x:

Your x-intercept is (2,0).

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

2x + 8

step-by-step explanation: