Write the equation of the line that goes through the point (-2,3) and has a slope of -4

y=-4x-5

Step-by-step explanation:

Use the equation of the line formula, y=mx+b

since we know that the slope is -4, we just have to find b

plug the points into the equation, y=-4x+b

(3)=-4(-2)+b

simplify

3=8+b

subtract 8 from both sides

b=-5

plug b into the equation

y=-4x-5

3201

step-by-step explanation:

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: