A line passes through the point , (−8,−5 )and has a slope of 3/4. Write an equation in slope-intercept form for this line.

Step-by-step explanation:

The formula for slope-intercept form:

= slope

= -intercept

Plugin the slope and -intercept

Slope is

-intercept is the value in a coordinate point, so -intercept is

Therefore, and , hence is the equation.

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: